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Boundedness of Product Type Pseudodifferential Operators on Spaces of Besov Type

Masao Yamazaki

Abstract

In this paper we consider pseudodifferential operators associated with symbols satisfying estimates of product type, and give some sufficient conditions for the operators to be bounded on BESOV spaces and on TRIEBEL—LIZORKIN spaces of product type corresponding to the above estimates. In the proof we use the characterization of these spaces by approximation by entire functions.

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Key concepts: Mathematics, Pseudodifferential operators, Type (biology), Bounded function, Product (mathematics), Pure mathematics, Besov space, Characterization (materials science)