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Estimates for Operator Norms in Weighted Spaces and Reverse Jensen Inequalities

Buckley, Stephen M. (1993) Estimates for Operator Norms in Weighted Spaces and Reverse Jensen Inequalities. Transactions of the American Mathematical Society, 340 (1). pp. 253-272. ISSN 0002-9947

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Abstract

We examine the dependence on the A p norm of w of the operator norms of singular integrals, maximal functions, and other operators in Lp(w). We also examine connections between some fairly general reverse Jensen inequalities and the Ap and RHp weight conditions.

Additional Information:First published in Transactions of the American Mathematical Society in volume 340 and number 1, 1993; published by the American Mathematical Society.
Keywords:Estimates; Operator Norms; Weighted Spaces; Reverse Jensen Inequalities; John-Nirenberg type inequality; Doubling spaces; Hölder domain; Euclidean space; H-chain set; Euclidean-Lebesgue setting;
Subjects:Science & Engineering > Mathematics
ID Code:2558
Deposited By:Prof. Stephen Buckley
Deposited On:13 Jun 2011 09:42
Journal or Publication Title:Transactions of the American Mathematical Society
Publisher:American Mathematical Society
Refereed:No

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