Sobolev Mapping of Some Holomorphic Projections

Luke David Edholm; Jeffery D. McNeal

doi:10.1007/s12220-019-00345-6

Sobolev Mapping of Some Holomorphic Projections

Luke David Edholm, Jeffery D. McNeal

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

Sobolev irregularity of the Bergman projection on a family of domains containing the Hartogs triangle is shown. On the Hartogs triangle itself, a sub-Bergman projection is shown to satisfy better Sobolev norm estimatesthan its Bergman projection.

Original language	English
Pages (from-to)	1293–1311
Number of pages	19
Journal	The Journal of Geometric Analysis
Volume	30
Issue number	2
DOIs	https://doi.org/10.1007/s12220-019-00345-6
Publication status	Published - Apr 2020

Austrian Fields of Science 2012

101008 Complex analysis

Keywords

Bergman projection
Hartogs triangle
Fat Hartogs triangles
Soloblev mapping properties
Sobolev irregularity
PSEUDOCONVEX DOMAINS
Hartogs triangles
BERGMAN PROJECTION
BEHAVIOR
IRREGULARITY
KERNELS
OPERATOR
REGULARITY
SZEGO PROJECTIONS
Sobolev spaces

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10.1007/s12220-019-00345-6

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title = "Sobolev Mapping of Some Holomorphic Projections",

abstract = "Sobolev irregularity of the Bergman projection on a family of domains containing the Hartogs triangle is shown. On the Hartogs triangle itself, a sub-Bergman projection is shown to satisfy better Sobolev norm estimatesthan its Bergman projection.",

keywords = "Bergman projection, Hartogs triangle, Fat Hartogs triangles, Soloblev mapping properties, Sobolev irregularity, PSEUDOCONVEX DOMAINS, Hartogs triangles, BERGMAN PROJECTION, BEHAVIOR, IRREGULARITY, KERNELS, OPERATOR, REGULARITY, SZEGO PROJECTIONS, Sobolev spaces",

author = "Edholm, {Luke David} and McNeal, {Jeffery D.}",

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doi = "10.1007/s12220-019-00345-6",

language = "English",

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AU - McNeal, Jeffery D.

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AB - Sobolev irregularity of the Bergman projection on a family of domains containing the Hartogs triangle is shown. On the Hartogs triangle itself, a sub-Bergman projection is shown to satisfy better Sobolev norm estimatesthan its Bergman projection.

KW - Bergman projection

KW - Hartogs triangle

KW - Fat Hartogs triangles

KW - Soloblev mapping properties

KW - Sobolev irregularity

KW - PSEUDOCONVEX DOMAINS

KW - Hartogs triangles

KW - BERGMAN PROJECTION

KW - BEHAVIOR

KW - IRREGULARITY

KW - KERNELS

KW - OPERATOR

KW - REGULARITY

KW - SZEGO PROJECTIONS

KW - Sobolev spaces

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DO - 10.1007/s12220-019-00345-6

M3 - Article

VL - 30

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EP - 1311

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

SN - 1050-6926

IS - 2

ER -

Sobolev Mapping of Some Holomorphic Projections

Abstract

Austrian Fields of Science 2012

Keywords

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