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Bull. Korean Math. Soc. 2013; 50(3): 915-928

Printed May 1, 2013

https://doi.org/10.4134/BKMS.2013.50.3.915

Copyright © The Korean Mathematical Society.

Characterization of the multipliers from $\overset{.}{H}^{r}$ to $\overset{.}{H}^{-r}$

Sadek Gala and Yoshihiro Sawano

University of mostaganem, Kyoto University

Abstract

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In this paper, we will provide an alternative proof to characterize the pointwise multipliers which maps a Sobolev space $\overset{.}{H}^{r}\left( \mathbb{R}^{d}\right) $ to its dual $\overset{.}{H}^{-r}\left( \mathbb{R} ^{d}\right) $ in the case $0

Keywords: multiplier space, Sobolev space, fractional differentiation

MSC numbers: 46E35, 46E25

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