Weighted variable $L^{p}$ integral inequalities for the maximal operator on non-increasing functions

• Autorzy: C. J. Neugebauer
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 192
• Numer: 1
• Strony: 51-60

Daty

wydano

2009

Twórcy

autor

C. J. Neugebauer

• Department of Mathematics, Purdue University, West Lafayette, IN 47907-1395, U.S.A.

Identyfikatory

DOI

10.4064/sm192-1-5