Journal articleJournal of Geometric Analysis · June 1, 2021
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We prove the weighted Lp regularity of the ordinary Bergman projection on certain pseudoconvex domains where the weight belongs to an appropriate generalization of the Békollè–Bonami class. The main tools used are estimates on the Bergman kernel ...
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Journal articleJournal of Functional Analysis · November 15, 2020
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We apply modern techniques of dyadic harmonic analysis to obtain sharp estimates for the Bergman projection in weighted Bergman spaces. Our main theorem focuses on the Bergman projection on the Hartogs triangle. The estimates of the operator norm are in te ...
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Journal articleBulletin of the London Mathematical Society · October 1, 2020
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In this paper, we investigate the weak-type regularity of the Bergman projection. The two domains we focus on are the polydisc and the Hartogs triangle. For the polydisc, we provide a proof that the weak-type behavior is of ‘ (Formula presented.) ’ type. T ...
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Journal articleProceedings of the American Mathematical Society · January 1, 2018
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We obtain Lp regularity for the Bergman projection on some Reinhardt domains. We start with a bounded initial domain Ω with some symmetry properties and generate successor domains in higher dimensions. We prove: If the Bergman kernel on Ω satisf ...
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Journal articleJournal of Geometric Analysis · January 1, 2017
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We obtain new explicit formulas for the Bergman kernel function on two families of Hartogs domains. To do so, we first compute the Bergman kernels on the slices of these Hartogs domains with some coordinates fixed, evaluate these kernel functions at certai ...
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