Journal of Operator Theory

Volume 73, Issue 1, Summer 2015 pp. 159-185.

On Hörmander-Kato spaces

Authors: Gruia Arsu
Author institution:Institute of Mathematics of The Romanian Academy, P.O. Box 1-174, RO-70700, Bucharest, Romania

Summary: We study an increasing family of spaces $ \{ \mathcal{B}_{k}^{p} \} _{1\leqslant p\leqslant \infty }$ by adapting the techniques used in the study of Beurling algebras by Coifman and Meyer $($Au delà des opérateurs pseudo-différentiels, Asterisque $(57)(1978)$$)$. Also we study the Schatten-von Neumann properties of pseudo-differential operators with symbols in the spaces $\mathcal{B}_{k}^{p}$.

DOI: http://dx.doi.org/10.7900/jot.2013oct29.2013
Keywords: Sobolev--Kato spaces, pseudo-differential operators, Schatten--von Neumann, Wiener amalgam spaces

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