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Transference results on weighted Lebesgue spaces

Published online by Cambridge University Press:  14 July 2008

María J. Carro  and
Salvador Rodríguez
María J. Carro
Affiliation:
Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 Barcelona, Spain (carro@ub.edu; salvarodriguez@ub.edu)
Salvador Rodríguez
Affiliation:
Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 Barcelona, Spain (carro@ub.edu; salvarodriguez@ub.edu)
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Abstract

We present some transference results for a convolution operator with kernel $K$ which is bounded from $L^{p_0}(w_0)$ into $L^{p_1}(w_1)$. Our results are a natural extension of the classical results of Coifman and Weiss and their further extensions. We shall give several applications in the setting of restriction of Fourier multipliers.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 2 , April 2008 , pp. 239 - 263
Copyright
2008 Royal Society of Edinburgh

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