Lp -regularity of the Bergman projection on quotient domains

Chase Bender; Debraj Chakrabarti; Meera Mainkar

Lp -regularity of the Bergman projection on quotient domains

Chase Bender, Debraj Chakrabarti, Meera Mainkar

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We obtain sharp ranges of LP -boundedness for domains in a wide class of Reinhardt domains representable as sublevel sets of monomials, by expressing them as quotients of simpler domains. We prove a general transformation law relating LP -boundedness on a domain and its quotient by a finite group. The range of p for which the Bergman projection is LP -bounded on our class of Reinhardt domains is found to shrink as the complexity of the domain increases.

Original language	English
Journal	Canadian Journal of Mathematics
State	Accepted/In press - Jan 2021

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title = "Lp -regularity of the Bergman projection on quotient domains",

abstract = "We obtain sharp ranges of LP -boundedness for domains in a wide class of Reinhardt domains representable as sublevel sets of monomials, by expressing them as quotients of simpler domains. We prove a general transformation law relating LP -boundedness on a domain and its quotient by a finite group. The range of p for which the Bergman projection is LP -bounded on our class of Reinhardt domains is found to shrink as the complexity of the domain increases. ",

author = "Chase Bender and Debraj Chakrabarti and Meera Mainkar",

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month = jan,

language = "English",

journal = "Canadian Journal of Mathematics",

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T1 - Lp -regularity of the Bergman projection on quotient domains

AU - Bender, Chase

AU - Chakrabarti, Debraj

AU - Mainkar, Meera

PY - 2021/1

Y1 - 2021/1

N2 - We obtain sharp ranges of LP -boundedness for domains in a wide class of Reinhardt domains representable as sublevel sets of monomials, by expressing them as quotients of simpler domains. We prove a general transformation law relating LP -boundedness on a domain and its quotient by a finite group. The range of p for which the Bergman projection is LP -bounded on our class of Reinhardt domains is found to shrink as the complexity of the domain increases.

AB - We obtain sharp ranges of LP -boundedness for domains in a wide class of Reinhardt domains representable as sublevel sets of monomials, by expressing them as quotients of simpler domains. We prove a general transformation law relating LP -boundedness on a domain and its quotient by a finite group. The range of p for which the Bergman projection is LP -bounded on our class of Reinhardt domains is found to shrink as the complexity of the domain increases.

M3 - Article

SN - 0008-414X

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

ER -

Lp -regularity of the Bergman projection on quotient domains

Abstract

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