Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates for some Weighted Bergman Projections   In this paper we investigate the regularity properties of weighted Bergman
projections for smoothly bounded pseudo-convex domains of finite type in
$\mathbb{C}^{n}$. The main result is obtained for weights equal to a non
negative rational power of the absolute value of a special defining function
$\rho$ of the domain: we prove (weighted) Sobolev-$L^{p}$ and Lipchitz
estimates for domains in $\mathbb{C}^{2}$ (or, more generally, for domains
having a Levi form of rank $\geq n-2$ and for "decoupled" domains) and for
convex domains. In particular, for these defining functions, we generalize
results obtained by A. Bonami & S. Grellier and D. C. Chang & B. Q. Li. We also
obtain a general (weighted) Sobolev-$L^{2}$ estimate.

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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: supr-con