Boundedness of Product Type Pseudodifferential Operators on Spaces of Besov Type

Masao Yamazaki

doi:10.1002/mana.19871330120

Boundedness of Product Type Pseudodifferential Operators on Spaces of Besov Type

Masao Yamazaki^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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 language	English
Pages (from-to)	297-315
Number of pages	19
Journal	Mathematische Nachrichten
Volume	133
Issue number	1
DOIs	https://doi.org/10.1002/mana.19871330120
Publication status	Published - 1987
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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title = "Boundedness of Product Type Pseudodifferential Operators on Spaces of Besov Type",

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.",

author = "Masao Yamazaki",

year = "1987",

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AU - Yamazaki, Masao

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AB - 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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JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

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Boundedness of Product Type Pseudodifferential Operators on Spaces of Besov Type

Abstract

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