A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa

2009/09/17 by Tuomas Hytönen, Hytönen, Tuomas P. · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.0909.3231

Abstract

A new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the spaces (Rⁿ,mu) with mu(B(x,r))

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• Strong and weak-type estimates for radial weighted Bergman projections
• Sparse domination via the Calderón-Zygmund decomposition: the example of Dini-smooth kernels

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