Weighted variable L p integral inequalities for the maximal operator on non-increasing functions

C. J. Neugebauer

Studia Mathematica (2009)

  • Volume: 192, Issue: 1, page 51-60
  • ISSN: 0039-3223

Abstract

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Let B p be the Ariõ-Muckenhoupt weight class which controls the weighted L p -norm inequalities for the Hardy operator on non-increasing functions. We replace the constant p by a function p(x) and examine the associated L p ( x ) -norm inequalities of the Hardy operator.

How to cite

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C. J. Neugebauer. "Weighted variable $L^{p}$ integral inequalities for the maximal operator on non-increasing functions." Studia Mathematica 192.1 (2009): 51-60. <http://eudml.org/doc/284748>.

@article{C2009,
abstract = {Let $B_\{p\}$ be the Ariõ-Muckenhoupt weight class which controls the weighted $L^\{p\}$-norm inequalities for the Hardy operator on non-increasing functions. We replace the constant p by a function p(x) and examine the associated $L^\{p(x)\}$-norm inequalities of the Hardy operator.},
author = {C. J. Neugebauer},
journal = {Studia Mathematica},
keywords = {weights; Hardy operator; variable },
language = {eng},
number = {1},
pages = {51-60},
title = {Weighted variable $L^\{p\}$ integral inequalities for the maximal operator on non-increasing functions},
url = {http://eudml.org/doc/284748},
volume = {192},
year = {2009},
}

TY - JOUR
AU - C. J. Neugebauer
TI - Weighted variable $L^{p}$ integral inequalities for the maximal operator on non-increasing functions
JO - Studia Mathematica
PY - 2009
VL - 192
IS - 1
SP - 51
EP - 60
AB - Let $B_{p}$ be the Ariõ-Muckenhoupt weight class which controls the weighted $L^{p}$-norm inequalities for the Hardy operator on non-increasing functions. We replace the constant p by a function p(x) and examine the associated $L^{p(x)}$-norm inequalities of the Hardy operator.
LA - eng
KW - weights; Hardy operator; variable 
UR - http://eudml.org/doc/284748
ER -

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