The weak-type (1,1) estimate of the $\mathcal{H}$-Harmonic Bergman projection
Kenan Zhang
TL;DR
This paper establishes the weak (1,1) boundedness of the $ ext{H}$-harmonic Bergman projection on the unit ball using Calderon-Zygmund theory, contributing to harmonic analysis in complex spaces.
Contribution
It introduces a novel application of Calderon-Zygmund theory to prove weak (1,1) estimates for the $ ext{H}$-harmonic Bergman projection, a new result in harmonic analysis.
Findings
Proves weak (1,1) boundedness of the projection
Utilizes Calderon-Zygmund theory on the unit ball
Enhances understanding of harmonic Bergman spaces
Abstract
In this note, the author recalls the Calderon-Zygmund theory on the unit ball and derives the weak (1,1) boundedness of the projection for -harmonic Bergman space.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometry and complex manifolds · Algebraic and Geometric Analysis