The Hardy-Lorentz spaces H p , q ( )

Wael Abu-Shammala; Alberto Torchinsky

Studia Mathematica (2007)

  • Volume: 182, Issue: 3, page 283-294
  • ISSN: 0039-3223

Abstract

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We deal with the Hardy-Lorentz spaces H p , q ( ) where 0 < p ≤ 1, 0 < q ≤ ∞. We discuss the atomic decomposition of the elements in these spaces, their interpolation properties, and the behavior of singular integrals and other operators acting on them.

How to cite

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Wael Abu-Shammala, and Alberto Torchinsky. "The Hardy-Lorentz spaces $H^{p,q}(ℝⁿ)$." Studia Mathematica 182.3 (2007): 283-294. <http://eudml.org/doc/284455>.

@article{WaelAbu2007,
abstract = {We deal with the Hardy-Lorentz spaces $H^\{p,q\}(ℝⁿ)$ where 0 < p ≤ 1, 0 < q ≤ ∞. We discuss the atomic decomposition of the elements in these spaces, their interpolation properties, and the behavior of singular integrals and other operators acting on them.},
author = {Wael Abu-Shammala, Alberto Torchinsky},
journal = {Studia Mathematica},
keywords = {atomic decomposition, singular integral operators, interpolation},
language = {eng},
number = {3},
pages = {283-294},
title = {The Hardy-Lorentz spaces $H^\{p,q\}(ℝⁿ)$},
url = {http://eudml.org/doc/284455},
volume = {182},
year = {2007},
}

TY - JOUR
AU - Wael Abu-Shammala
AU - Alberto Torchinsky
TI - The Hardy-Lorentz spaces $H^{p,q}(ℝⁿ)$
JO - Studia Mathematica
PY - 2007
VL - 182
IS - 3
SP - 283
EP - 294
AB - We deal with the Hardy-Lorentz spaces $H^{p,q}(ℝⁿ)$ where 0 < p ≤ 1, 0 < q ≤ ∞. We discuss the atomic decomposition of the elements in these spaces, their interpolation properties, and the behavior of singular integrals and other operators acting on them.
LA - eng
KW - atomic decomposition, singular integral operators, interpolation
UR - http://eudml.org/doc/284455
ER -

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