Extension from linear subvarieties for the Bergman scale of spaces on convex domains

Michał Jasiczak

Annales Polonici Mathematici (2014)

  • Volume: 112, Issue: 1, page 1-23
  • ISSN: 0066-2216

Abstract

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We study the problem of extending functions from linear affine subvarieties for the Bergman scale of spaces on convex finite type domains. Our results solve the problem for H¹(D). For other Bergman spaces the result is ϵ-optimal.

How to cite

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Michał Jasiczak. "Extension from linear subvarieties for the Bergman scale of spaces on convex domains." Annales Polonici Mathematici 112.1 (2014): 1-23. <http://eudml.org/doc/280295>.

@article{MichałJasiczak2014,
abstract = {We study the problem of extending functions from linear affine subvarieties for the Bergman scale of spaces on convex finite type domains. Our results solve the problem for H¹(D). For other Bergman spaces the result is ϵ-optimal.},
author = {Michał Jasiczak},
journal = {Annales Polonici Mathematici},
keywords = {extension; restriction; holomorphic; Bergman space; convex finite type domain},
language = {eng},
number = {1},
pages = {1-23},
title = {Extension from linear subvarieties for the Bergman scale of spaces on convex domains},
url = {http://eudml.org/doc/280295},
volume = {112},
year = {2014},
}

TY - JOUR
AU - Michał Jasiczak
TI - Extension from linear subvarieties for the Bergman scale of spaces on convex domains
JO - Annales Polonici Mathematici
PY - 2014
VL - 112
IS - 1
SP - 1
EP - 23
AB - We study the problem of extending functions from linear affine subvarieties for the Bergman scale of spaces on convex finite type domains. Our results solve the problem for H¹(D). For other Bergman spaces the result is ϵ-optimal.
LA - eng
KW - extension; restriction; holomorphic; Bergman space; convex finite type domain
UR - http://eudml.org/doc/280295
ER -

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