On Kato-Sobolev type spaces
Abstract
We study an increasing family of spaces Bkp1≤ p≤ ∞ by adapting the techniques used in the study of Beurling algebras by Coifman and Meyer (1978). A weak form Wiener-Levy theorem is proved based on an integral representation formula belonging A. P. Calder\'on. Also we study the Schatten-von Neumann properties of pseudo-differential operators with symbols in the spaces B%kp spaces.
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