Έστω C(Y,Z) το σύνολο των συνεχών συναρτήσεων από έναν τοπολογικό χώρο Υ σ' έναν τοπολογικό χώρο Ζ. Στη διπλωματική εργασία δίνουμε και μελετάμε τοπολογίες στο C(Y,Z). / Let C(Y,Z) be the set of all continuous maps from a topological space Y to a topological space Z . We give and study topologies on the set C(Y,Z) .

Thesis Göteborg. / "No. 1971-12." Thesis statement from slip inserted. Includes bibliographical references.

No description available.

No description available.

We consider the problem of characterising Besov-Lipshitz and Triebel-Lizorkin spaces using kernels with limited smoothness and decay. This extends the work of H.-Q. Bui et al in [4] and [5] from kernels in S to more general kernels, including the Poisson kernel. We overcome the difficulty of defining the convolution of a general kernel with a distribution by using the concept of a bounded distribution introduced by E. Stein [12]. The characterisations we obtain are valid for the full range of indices.

In this work we will study Hardy-Littlewood maximal function and maximal operator, basing on both classical and most up to date works. In the first chapter we will give definitions for different types of those objects and consider some of their most important properties. The second chapter is entirely devoted to an overview of the fundamental properties of Hardy-Littlewood maximal function, which are strong (p, p) and weak (1, 1) inequalities. Here we list the most actual results on this inequalities in correspondence to the way the maximal func-tion is defined. The third chapter presents the theorem on asymptotic behavior of the lower bound of the constant in the weak-type (1, 1) inequality for the maximal function associated with cubes of Rd, then the dimension d tends to infinity. In the last chapter a method forcomputing constant c, appearing in the main theorem of chapter 3, is given. / <p>QC 20140527</p>

Thesis (Ph. D.)--University of Wisconsin--Madison, 1982. / Typescript. Vita. Description based on print version record. Includes bibliographical references (leaves 83-84).

Proefschift Universiteit van Amsterdam. / Met lit. opg. en een samenvatting in het Nederlands.

Proefschrift Universiteit van Amsterdam. / Met lit.opg. en samenvatting in het Nederlands.

Proefschrift Universiteit Maastricht. / Met bibliogr., lit. opg. - Met samenvatting in het Nederlands.