Search for dissertations about: "Martin Křepela"

Found 2 swedish dissertations containing the words Martin Křepela.

2. 1. Forever Young : Convolution Inequalities in Weighted Lorentz-type Spaces

   Author : Martin Křepela; Sorina Barza; Javier Soria; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Convolution; Young inequality; Lorentz spaces; weights; rearrangement-invariant spaces; Matematik; Mathematics;

   Abstract : This thesis is devoted to an investigation of boundedness of a general convolution operator between certain weighted Lorentz-type spaces with the aim of proving analogues of the Young convolution inequality for these spaces.Necessary and sufficient conditions on the kernel function are given, for which the convolution operator with the fixed kernel is bounded between a certain domain space and the weighted Lorentz space of type Gamma. READ MORE

4. 2. The Weighted Space Odyssey

   Author : Martin Křepela; Sorina Barza; Gord Sinnamon; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; integral operators; supremal operators; weights; weighted function spaces; Lorentz spaces; Lebesgue spaces; convolution; Hardy inequality; multilinear operators; nonincreasing rearrangement; Matematik; Mathematics;

   Abstract : The common topic of this thesis is boundedness of integral and supremal operators between weighted function spaces.The first type of results are characterizations of boundedness of a convolution-type operator between general weighted Lorentz spaces. READ MORE