Admissible functions for the Dirichlet space

Javad Mashreghi; Mahmood Shabankhah

Studia Mathematica (2010)

  • Volume: 198, Issue: 2, page 147-156
  • ISSN: 0039-3223

Abstract

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Zero sets and uniqueness sets of the classical Dirichlet space are not completely characterized yet. We define the concept of admissible functions for the Dirichlet space and then apply them to obtain a new class of zero sets for . Then we discuss the relation between the zero sets of and those of .

How to cite

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Javad Mashreghi, and Mahmood Shabankhah. "Admissible functions for the Dirichlet space." Studia Mathematica 198.2 (2010): 147-156. <http://eudml.org/doc/285456>.

@article{JavadMashreghi2010,
abstract = {Zero sets and uniqueness sets of the classical Dirichlet space are not completely characterized yet. We define the concept of admissible functions for the Dirichlet space and then apply them to obtain a new class of zero sets for . Then we discuss the relation between the zero sets of and those of $^\{∞\}$.},
author = {Javad Mashreghi, Mahmood Shabankhah},
journal = {Studia Mathematica},
keywords = {zero set; uniqueness set; Dirichlet space; Carleson set},
language = {eng},
number = {2},
pages = {147-156},
title = {Admissible functions for the Dirichlet space},
url = {http://eudml.org/doc/285456},
volume = {198},
year = {2010},
}

TY - JOUR
AU - Javad Mashreghi
AU - Mahmood Shabankhah
TI - Admissible functions for the Dirichlet space
JO - Studia Mathematica
PY - 2010
VL - 198
IS - 2
SP - 147
EP - 156
AB - Zero sets and uniqueness sets of the classical Dirichlet space are not completely characterized yet. We define the concept of admissible functions for the Dirichlet space and then apply them to obtain a new class of zero sets for . Then we discuss the relation between the zero sets of and those of $^{∞}$.
LA - eng
KW - zero set; uniqueness set; Dirichlet space; Carleson set
UR - http://eudml.org/doc/285456
ER -

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