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Carleson measures for weighted Hardy-sobolev spaces

Published online by Cambridge University Press:  11 January 2016

Carme Cascante  and
Joaquin M. Ortega
Carme Cascante
Affiliation:
Departament de Matemàtica Aplicada i Anàlisi Facultat de Matemàtiques Universitat de BarcelonaGran Via 585, 08071Barcelona Spaincascante@ub.edu
Joaquin M. Ortega
Affiliation:
Departament de Matemàtica Aplicada i Anàlisi Facultat de Matemàtiques Universitat de BarcelonaGran Via 585, 08071Barcelona Spainortega@ub.edu
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Abstract

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We obtain characterizations of positive Borel measures µ on Bn so that some weighted Hardy-Sobolev are imbedded in Lp(dµ), where w is an Ap weight in the unit sphere of Cn.

Keywords

32A3546E3532A40
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 186 , 2007 , pp. 29 - 68
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007

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