Journal of Operator Theory
Volume 73, Issue 1, Winter 2015 pp. 159-185.
On Hoermander-Kato spaces
Authors:
Gruia Arsu
Author institution:Institute of Mathematics of The Romanian Academy, P.O. Box 1-174,
RO-014700, 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 del\`{a} des
op\'{e}rateurs pseudo-diff\'{e}rentiels, \textit{Asterisque}
\textbf{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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