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Generalizations of the Forelli–Rudin Estimates

✍ Scribed by Karel Stroethoff

Book ID
102592948
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
106 KB
Volume
252
Category
Article
ISSN
0022-247X

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✦ Synopsis

We give elementary proofs of the Forelli᎐Rudin estimates and generalizations of these estimates. As an application we obtain L p -boundedness results for classes of integral operators that include Bergman projections and Hankel operators.

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A Forelli–Rudin Construction and Asympto
A Forelli–Rudin Construction and Asymptotics of Weighted Bergman Kernels
✍ Miroslav Engliš 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 203 KB

Let 0 be a pseudoconvex domain in C N with smooth boundary, &,, & two smooth defining functions for 0=[,>0] such that &log , &log , are plurisubharmonic, z # 0 a point at which &log , is strictly plurisubharmonic, and M 0 an integer. We show that as k Ä , the Bergman kernels with respect to the weig