Boundedness of Harmonic Conjugation on Weighted Bergman Spaces
Abstract
We prove that if a weight is a Bekoll\'e-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 ap. One part of our results uses a certain special type of good lambda inequality.
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