Boundedness of Harmonic Conjugation on Weighted Bergman Spaces

2024/12/31 by Ferguson, Timothy
#30H20 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2501.00631

Abstract

We prove that if a weight is a Bekollé-Bonami weight for some q and it satisfies another simple condition that depends on 0 < p < ∞, then the operator taking a function to its harmonic conjugate is bounded on the harmonic Bergman space a^p. One part of our results uses a certain special type of good lambda inequality.

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