Transference results on weighted Lebesgue spaces
Published online by Cambridge University Press: 14 July 2008
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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