Characterization of associate spaces of weighted Lorentz spaces with applications

Amiran Gogatishvili; Luboš Pick; Filip Soudský

Studia Mathematica (2014)

  • Volume: 224, Issue: 1, page 1-23
  • ISSN: 0039-3223

Abstract

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We characterize associate spaces of weighted Lorentz spaces GΓ(p,m,w) and present some applications of this result including necessary and sufficient conditions for a Sobolev-type embedding into L .

How to cite

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Amiran Gogatishvili, Luboš Pick, and Filip Soudský. "Characterization of associate spaces of weighted Lorentz spaces with applications." Studia Mathematica 224.1 (2014): 1-23. <http://eudml.org/doc/286125>.

@article{AmiranGogatishvili2014,
abstract = {We characterize associate spaces of weighted Lorentz spaces GΓ(p,m,w) and present some applications of this result including necessary and sufficient conditions for a Sobolev-type embedding into $L^\{∞\}$.},
author = {Amiran Gogatishvili, Luboš Pick, Filip Soudský},
journal = {Studia Mathematica},
keywords = {weighted Lorentz spaces; weighted inequalities; non-increasing rearrangement; Banach function space; associate space; reflexivity; absolute continuity of norm},
language = {eng},
number = {1},
pages = {1-23},
title = {Characterization of associate spaces of weighted Lorentz spaces with applications},
url = {http://eudml.org/doc/286125},
volume = {224},
year = {2014},
}

TY - JOUR
AU - Amiran Gogatishvili
AU - Luboš Pick
AU - Filip Soudský
TI - Characterization of associate spaces of weighted Lorentz spaces with applications
JO - Studia Mathematica
PY - 2014
VL - 224
IS - 1
SP - 1
EP - 23
AB - We characterize associate spaces of weighted Lorentz spaces GΓ(p,m,w) and present some applications of this result including necessary and sufficient conditions for a Sobolev-type embedding into $L^{∞}$.
LA - eng
KW - weighted Lorentz spaces; weighted inequalities; non-increasing rearrangement; Banach function space; associate space; reflexivity; absolute continuity of norm
UR - http://eudml.org/doc/286125
ER -

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