Estimates for operator norms on weighted spaces and reverse Jensen inequalities

Buckley, Stephen M.

doi:10.1090/S0002-9947-1993-1124164-0

Estimates for operator norms on weighted spaces and reverse Jensen inequalities
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by Stephen M. Buckley PDF

Trans. Amer. Math. Soc. 340 (1993), 253-272 Request permission

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 ${L^p}(w)$. We also examine connections between some fairly general reverse Jensen inequalities and the ${A_p}$ and $R{H_p}$ weight conditions.

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