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2007 Carleson measures for weighted Hardy-Sobolev spaces
Carme Cascante, Joaquin M. Ortega
Nagoya Math. J. 186: 29-68 (2007).

Abstract

We obtain characterizations of positive Borel measures $\mu$ on $\mathbf{B}^{n}$ so that some weighted Hardy-Sobolev are imbedded in $L^{p}(d\mu)$, where $w$ is an $A_{p}$ weight in the unit sphere of $\mathbf{C}^{n}$.

Citation

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Carme Cascante. Joaquin M. Ortega. "Carleson measures for weighted Hardy-Sobolev spaces." Nagoya Math. J. 186 29 - 68, 2007.

Information

Published: 2007
First available in Project Euclid: 22 June 2007

zbMATH: 1129.32003
MathSciNet: MR2334364

Subjects:
Primary: 32A35‎ , 32A40 , 46E35

Keywords: Carleson measures , holomorphic potentials , Weighted Hardy-Sobolev spaces , weighted Triebel-Lizorkin spaces

Rights: Copyright © 2007 Editorial Board, Nagoya Mathematical Journal

Vol.186 • 2007
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