Sampling measures.

Joaquim Ortega-Cerdà

Publicacions Matemàtiques (1998)

  • Volume: 42, Issue: 2, page 559-566
  • ISSN: 0214-1493

Abstract

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We give a description of all measures such that for any function in a weighted Fock spaces the Lp norm with respect to the measure is equivalent to the usual norm in the space. We do so by a process of discretization that reduces the problem to the description of sampling sequences. The same kind of result holds for weighted Bergman spaces and the Paley-Wiener space.

How to cite

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Ortega-Cerdà, Joaquim. "Sampling measures.." Publicacions Matemàtiques 42.2 (1998): 559-566. <http://eudml.org/doc/41338>.

@article{Ortega1998,
abstract = {We give a description of all measures such that for any function in a weighted Fock spaces the Lp norm with respect to the measure is equivalent to the usual norm in the space. We do so by a process of discretization that reduces the problem to the description of sampling sequences. The same kind of result holds for weighted Bergman spaces and the Paley-Wiener space.},
author = {Ortega-Cerdà, Joaquim},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de la medida; Muestreo; Procesos discretos; Espacios de Fock; Desigualdades},
language = {eng},
number = {2},
pages = {559-566},
title = {Sampling measures.},
url = {http://eudml.org/doc/41338},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Ortega-Cerdà, Joaquim
TI - Sampling measures.
JO - Publicacions Matemàtiques
PY - 1998
VL - 42
IS - 2
SP - 559
EP - 566
AB - We give a description of all measures such that for any function in a weighted Fock spaces the Lp norm with respect to the measure is equivalent to the usual norm in the space. We do so by a process of discretization that reduces the problem to the description of sampling sequences. The same kind of result holds for weighted Bergman spaces and the Paley-Wiener space.
LA - eng
KW - Teoría de la medida; Muestreo; Procesos discretos; Espacios de Fock; Desigualdades
UR - http://eudml.org/doc/41338
ER -

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