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The maximal function on variable $L^{p}$ spaces.

Cruz-Uribe, D.; Firorenza, A.; Neugebauer, C. J. — 2003

Annales Academiae Scientiarum Fennicae. Mathematica

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

C. J. Neugebauer — 2009

Studia Mathematica

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.

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The maximal function on variable L p spaces.

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

The maximal function on variable $L^{p}$ spaces.

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