Geodesic
Weighted variable $L^p$ integral inequalities for the maximal operator on non-increasing functions
C. J. Neugebauer 1
1 Department of Mathematics Purdue University West Lafayette, IN 47907-1395, U.S.A.
Studia Mathematica, Tome 192 (2009) no. 1, pp. 51-60 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm192-1-5
Keywords: ari muckenhoupt weight class which controls weighted p norm inequalities hardy operator non increasing functions replace constant function examine associated norm inequalities hardy operator

C. J. Neugebauer  1

1 Department of Mathematics Purdue University West Lafayette, IN 47907-1395, U.S.A. 
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C. J. Neugebauer. Weighted variable $L^p$ integral inequalities for
 the maximal operator on non-increasing functions. Studia Mathematica, Tome 192 (2009) no. 1, pp. 51-60. doi: 10.4064/sm192-1-5

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