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
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topAmiran 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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