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Two-Weight Norm Inequality and Carleson Measure in Weighted Hardy Spaces

Published online by Cambridge University Press:  20 November 2018

Dangsheng Gu
Dangsheng Gu*
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, U.S.A.
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Abstract

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Let (X, ν, d) be a homogeneous space and let Ω be a doubling measure on X. We study the characterization of measures μ on X+ = X x R+ such that the inequality , where q < p, holds for the maximal operator Hvf studied by Hörmander. The solution utilizes the concept of the “balayée” of the measure μ.

Keywords

42B2542B3031B0547A30
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 6 , 01 December 1992 , pp. 1206 - 1219
Copyright
Copyright © Canadian Mathematical Society 1992

References

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