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Chování jednorozměrných integrálních operátorů na prostorech funkcí / Behavior of one-dimensional integral operators on function spaces

In this manuscript we study the action of one-dimensional integral operators on rearrangement-invariant Banach function spaces. Our principal goal is to characterize optimal target and optimal domain spaces corresponding to given spaces within the category of rearrangement-invariant Banach function spaces as well as to establish pointwise estimates of the non-increasing rearrangement of a given operator applied on a given function. We apply these general results to proving optimality relations between special rearrangement-invariant spaces. We pay special attention to the Laplace transform, which is a pivotal example of the operators in question. Powered by TCPDF (www.tcpdf.org)

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:346973
Date January 2016
CreatorsBuriánková, Eva
ContributorsPick, Luboš, Nekvinda, Aleš
Source SetsCzech ETDs
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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