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Weighted inequalities for the one-sided geometric maximal operators

✍ Scribed by Pedro Ortega Salvador; Consuelo Ramírez Torreblanca

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
102 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We characterize the pairs of weights (u, v) such that the one‐sided geometric maximal operator G^+^,  defined for functions f of one real variable by

verifies the weak‐type inequality

or the strong type inequality

for 0 < p < ∞.

We also find two new conditions which are equivalent to A^+^~∞~. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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