Made available in DSpace on 2016-06-02T20:28:30Z (GMT). No. of bitstreams: 1 6065.pdf: 865751 bytes, checksum: 22466d8659637f2282b6be8b0adb5a33 (MD5) Previous issue date: 2014-03-13 / Financiadora de Estudos e Projetos / This work is divided into two parts. In the first part, our goal is to present the theory of Hardy Spaces Hp(Rn), which coincides with the Lebesgue space Lp(Rn) for p > 1, is strictly contained in Lp(Rn) if p = 1, and is a space of distributions when 0 < p < 1. When 0 < p ^ 1, the Hardy spaces offers a better treatment involving harmonic analysis than the Lp spaces. Among other results, we prove the maximal characterization theorem of Hp, which gives equivalent definitions of Hp, based on different maximal functions. We will proof the atomic decom¬position theorem for Hp, which allow decompose any distribution in Hp to be written as a sum of Hp-atoms (measurable functions that satisfy certain properties). In this step, we use the strongly the of Whitney decomposition and generalized Calderon-Zygmund decomposition. In the second part, as a application, we will prove that nonlinear quantities (such as the Jacobian, divergent and rotational defined in Rn) identied by the compensated compactness theory belong, under natural conditions, the Hardy spaces. To this end, in addition to the results seen in the first part, will use the results as Sobolev immersions theorems ans the inequality Sobolev-Poincare. Furthermore, we will use the tings and results related to the context of differential forms. / Esse trabalho está dividido em duas partes.Na primeira, nosso objetivo e apresentar os espaços de Hardy Hp(Rn), o qual coincide com os espaços Lp(Rn), quando p > 1, esta estritamente contido em Lp(Rn) se p = 1, e e um espaço de distribuições quando 0 < p < 1. Quando 0 < p < 1, os espaços de Hardy oferecem um melhor tratamento envolvendo analise harmônica do que os espaços Lp(Rn). Entre outros resultados, provamos o teorema da caracterização maximal de Hp, o qual fornece varias, porem equivalentes, formas de caracterizar Hp, com base em diferentes funcões maximais. Demonstramos o teorema da decomposição atômica para Hp, 0 < p < 1, que permite decompor qualquer distribuição em Hp como soma de Hp-atomos (funções mensuráveis que satisfazem certas propriedades). Nessa etapa, usamos fortemente a de- composição de Whitney e a decomposto de Calderon-Zygmund generalizada. Na segunda parte, como uma aplicação, provamos que quantidades não-lineares (como o jacobiano, divergente e o rotacional definidos em Rn), identificadas pela teoria compacidade compensada pertencem, em condições naturais, aos espaços de Hardy. Para tanto, além dos resultados visto na primeira parte, usamos outros como os Teoremas de Imersões de Sobolev, a desigualdade de Sobolev-Poincaré. Usamos ainda, definições e resultados referentes ao contexto de formas diferenciais.

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Das maximale Laktat-steady-state (MLSS) gilt als ein physiologischer Parameter der Ausdauerleistungsfähigkeit. Bereits in den 1980er Jahren entwickelte Mader (1984) auf Basis der Michaelis-Menten-Kinetik eine Berechnungsmethode zur Bestimmung der Leistung im MLSS. Diese Methode setzt die Kenntnis der maximalen Reaktionsgeschwindigkeiten von Glykolyse und Atmung voraus. Die Goldstandard-Methode zur Ermittlung der Leistung im MLSS sind mehrere 30-minütige konstante Dauerbelastungen. Das hauptsächliche Ziel der vorliegenden Arbeit bestand in dem Vergleich der berechneten mit der empirisch ermittelten Leistung im MLSS. 57 männliche Probanden unterzogen sich zunächst in randomisierter Reihenfolge einem Test zur Bestimmung der maximalen Laktatbildungsrate sowie der maximalen Sauerstoffaufnahme. Im Anschluss absolvierten die Testpersonen mehrere 30 minütige Dauertests zur empirischen Ermittlung der Leistung im MLSS. Die ermittelten Ergebnisse zeigen, dass zwischen beiden Testmethoden eine hochsignifikante Korrelation (r = 0,89; p< 0,001) sowie eine mittlere Differenz von -13 Watt vorliegt. Ausgehend von den ermittelten Ergebnissen kann der Schluss gezogen werden, dass die Leistung im MLSS, ermittelt unter Verwendung der Methode nach Mader (1984) im Mittel mit der empirisch ermittelten Leistung im MLSS sehr gut übereinstimmt. Neben der angeführten Hauptstudie, wurde in der vorliegenden Arbeit weiterhin die Reliabilität und Tag-zu-Tag-Variabilität der Leistung im MLSS, der Einfluss der Testdauer auf die Laktatbildungsrate sowie die Praktikabilität der berechneten Leistung im MLSS in einem Einzelzeitfahren näher untersucht.

Abstract provided by Publisher Complex performance diagnostics in sports medicine should contain maximal aerobic and maximal anaerobic performance. The requirements on appropriate stress protocols are high. To validate a test protocol quality criteria like objectivity and reliability are necessary. Therefore, the present study was performed in intention to analyze the reliability of maximal lactate production rate (VLamax) by using a sprint test, maximum oxygen consumption (VO2max) by using a ramp test and, based on these data, resulting power in calculated maximum lactate-steady-state (PMLSS) especially for amateur cyclists. All subjects (n=23, age 26 ± 4 years) were leisure cyclists. At three different days they completed first a sprint test to approximate VLamax. After 60 min of recreation time a ramp test to assess VO2max was performed. The results of VLamax-test and VO2max-test and the body weight were used to calculate PMLSS for all subjects. The intra class correlation (ICC) for VLamax and VO2max was 0.904 and 0.987, respectively, coefficient of variation (CV) was 6.3 % and 2.1 %, respectively. Between the measurements the reliable change index of 0.11 mmol∙l-1∙s-1 for VLamax and 3.3 ml∙kg-1∙min-1 for VO2max achieved significance. The mean of the calculated PMLSS was 237 ± 72 W with an RCI of 9 W and reached with ICC = 0.985 a very high reliability. Both metabolic performance tests and the calculated PMLSS are reliable for leisure cyclists.

Introduktion: En minskad smärtkänslighet som uppkommer under eller efter träning är ett fenomen som kallas för träningsinducerad hypoalgesi (Exercise-induced hypoalgesia, EIH). Metodiken för studier om EIH är mångsidig och resultaten har därför inte alltid varit samstämmiga. Aerob träning har visat sig kunna höja smärttröskeln och minska smärtkänsligheten hos individer. Forskningen om aerob kapacitet och dess samband med EIH hos friska individer är bristfällig.  Syfte: Att undersöka effekten av ett aerobt träningspass på smärtkänslighet samt att analysera sambandet mellan aerob kapacitet och smärtkänslighet hos friska individer.  Metod: Ett submaximalt cykeltest utfördes av 19 friska individer mellan 20-38 år, i syfte att estimera maximal syreupptagningsförmåga (VO2max). Detta var följt av ett EIH-test för att undersöka eventuell höjning av trycksmärttröskeln (Pressure pain threshold, PPT). EIH-testet bestod av ett 15 minuters cykelpass på 75% av VO2max där mätning av PPT utfördes på arbetande (ben) respektive vilande (arm) muskulatur, direkt före och direkt efter träningspasset.   Resultat: En signifikant ökning av PPT för arbetande muskulatur (p=0,018) påvisades efter träning. Ingen signifikant förändring av PPT påvisades för vilande muskulatur (p=0,052). Det observerades inget signifikant samband mellan maximal syreupptagningsförmåga (VO2max) och EIH-effekt (ben, p= 0,860; arm, p= 0,942).  Konklusion: Ett högintensivt aerobt cykelpass gav en signifikant höjning av PPT för den arbetande muskulaturen. Inget signifikant samband påvisades mellan VO2max och EIH-effekt (differensen mellan PPT direkt efter och direkt före träning). Ytterligare studier med ett högre deltagarantal behövs för att undersöka detta samband mer ingående samt för att underlätta jämförelser mellan studier.

<p>Multi-linear operators play an important role in analysis due to their multiple connections with and applications to other mathematical areas such as ergodic theory, elliptic regularity, and other problems in partial differential equations.</p> <p>Within the area of multi-linear operators, powerful methods were developed originating from the problem of the almost everywhere convergence of Fourier series. Indeed, in their work, Carleson and Fefferman lay the foundation of time-frequency analysis. By further refining their methods, M. Lacey and C. Thiele proved the boundedness of the classical bilinear Hilbert transform for a suitable range of Hölder indices.</p> <p>In this thesis, we consider the general boundedness properties of the bilinear Hilbert transform and the sub-bilinear maximal function along a suitable family of curves.</p> <p>In the first part of our work, we present a short proof of the maximal boundedness range for the sub-bilinear maximal function along non-flat curves, giving a unified treatment of both the singular and the maximal operators.</p> <p>In the second part, we discuss the boundedness of these operators along hybrid curves. This work aims to present a unified perspective that treats the case obtained by joining the zero-curvature features of the operators along flat curves with the non-zero curvature features along non-flat curves.</p>

In this Ph. D. thesis we discuss four different problems in analysis: (a) sharp inequalities related to the restriction phenomena for the Fourier transform, with emphasis on some Strichartz-type estimates; (b) extremal approximations of exponential type for the Gaussian and for a class of even functions, with applications to analytic number theory; (c) radial symmetrization approach to convolution-like inequalities for the Boltzmann collision operator; (d) regularity of maximal operators with respect to weak derivatives and weak continuity. / text

Dans cette thèse, on s'intéresse à l'analyse harmonique et aux fonctions spéciales associées aux opérateurs de Dunkl rationnels qui sont des déformations des dérivées directionnelles par des réflexions. Ils fournissent un outil décisif pour étendre, dans le cadre des systèmes de racines et des groupes de réflexions associés, l'analyse de Fourier euclidienne et l'analyse sur les espaces symétriques riemanniens plats. Après avoir donné un panorama détaillé de la théorie de Dunkl, on étudie l'opérateur maximal défini dans ce contexte. On commence par apporter des améliorations sur le comportement des constantes du théorème maximal de Thangavelu et Xu pour un groupe de réflexions quelconque. On étend ensuite dans un cadre vectoriel leur théorème en établissant dans le cas Z_2^d des inégalités de Fefferman-Stein. Pour y parvenir et puisque les techniques d'analyse réelle ne se prêtent pas à cet opérateur maximal, on construit un opérateur de type Hardy-Littlewood plus commode à étudier. A cet effet, on donne une estimation fine de la translation généralisée de l'indicatrice d'une boule. Notre étude est ensuite consacrée à des résultats d'intégrabilité exponentielle qui complètent les inégalités de Fefferman-Stein, et à un théorème maximal vectoriel pour des hypergroupes de Bessel-Kingman. Enfin, on développe l'analyse de Dunkl dans le cas d'un sous-système positif de racines orthogonales. On y établit une formule explicite du noyau de Dunkl et une formule produit qui implique le caractère borné de la translation de Dunkl. Le cas particulier d'un système de type A_1 est étudié afin d'établir une égalité liant les fonctions de Bessel normalisées et les polynômes de Gegenbauer.

Darbo objektai – 1) skirtingiems fiziniams krūviams adaptuotų sportininkų maksimalios valingos jėgos įtaka greitumo jėgos rodikliams. 2) krepšininkų parengimas taikant skirtingus treniruočių modelius. Keliame hipotezes, kad turintys didesnę maksimalią valingąją jėgą tiriamieji greičiau bėgs 30 m distancijos pirmą atkarpą (0-10 m.), o adaptuoti maksimaliajam bėgimo greičiui – greičiau bėgs nuotolio pabaigoje ir pasieks geresnius rezultatus. Taikant koncentruotą treniruočių sistemą didelio meistriškumo krepšininkai pasiekia geresnių galingumo rodiklių ir sugeba juos išlaikyti rungtynių metu. Tikslai Nustatyti taikytų skirtingų treniravimo modelių įtaką judamųjų gebėjimų ugdymui. Uždaviniai: 1. Nustatyti ir palyginti skirtingam fiziniam krūviui adaptuotų sportininkų maksimalios valingosios jėgos (MVJ) ir 30 m bėgimo rezultatus bei bėgimo greičio prieaugio tempą. 2. Nustatyti ir palyginti vertikalaus šuolio rezultatus krepšininkų grupėms, besitreniruojančioms pagal skirtingus treniruočių modelius. Išvados: 1. Turėdami didžiausią MVJ pirmus 10 m greičiausiai įveikia sunkiaatlečiai, tačiau likusias bėgimo atkarpas greičiausiai įveikia elito sprinteriai, taip pat pasiekdami didžiausią bėgimo greičio prieaugį nuo 10 iki 30 bėgimo metro – 29,74 % (p<0,05). 2. Koncentruotas skirtingų judamųjų gebėjimų ugdymo modelis labiau pagerina krepšininkų vertikalaus šuolio rezultatus bei jų atsistatymą po rungtynių nei mišraus režimo modelis. Praktinės rekomendacijos: tyrimo metu gauti duomenys... [toliau žr. visą tekstą] / The objects of the study: 1) the impact of maximum voluntary contraction force to speed values for the athletes who are adapted to different physical loads. 2) the physical preparation of the basketball players using different training models. It is possible to make a hypothesis that athletes who have greater maximum voluntary contraction force runs faster in the first 10 meters (0-10 meters.) in the distance of 30 meters. However, the sprinters who are adapted to maximum speed of running runs faster in the end of the distance and achieves better results. Applying concentrated training model, the results of professional basketball players achieve greater power indicators and are able to keep them during the mach. The aim – To identify the influence of the different training models applied to the training of the moving abilities. Scopes: 1. To identify and compare the maximal voluntary contraction force and 30 meters of running results. Although to identify and compare the rate of increment for the speed of running. 2. To identify and compare the rates of vertical leap for the groups of basketball players who are trained using different training models. Conclusions: 1. Weightlifters who have the greatest maximum voluntary contraction force pass the first 10 meters faster. However, the other meters of the distance are passed faster by elite sprinters. In addition, the elite sprinters achieve the greatest increment of running speed (from 10 to 30 running meter – 29.74 % (p<0.0... [to full text]

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