Boundedness of Product Type Pseudodifferential Operators on Spaces of Besov Type

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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.

Original languageEnglish
Pages (from-to)297-315
Number of pages19
JournalMathematische Nachrichten
Volume133
Issue number1
DOIs
Publication statusPublished - 1987
Externally publishedYes

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Pseudodifferential Operators
Boundedness
Entire Function
Estimate
Sufficient Conditions
Approximation
Operator

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Boundedness of Product Type Pseudodifferential Operators on Spaces of Besov Type. / Yamazaki, Masao.

In: Mathematische Nachrichten, Vol. 133, No. 1, 1987, p. 297-315.

Research output: Contribution to journalArticle

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