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

top
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

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.