A Note On The Bilinear Fractional Integral Operator Acting On Morrey Spaces

Naoya Hatano; Yoshihiro Sawano

A Note On The Bilinear Fractional Integral Operator Acting On Morrey Spaces

Naoya Hatano, Yoshihiro Sawano

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

Abstract

The boundedness of the bilinear fractional integral operator is investigated. This bilinear fractional integral operator goes back to Kenig and Stein. This paper is oriented to the boundedness of this operator on products of Morrey spaces. Compared to the earlier work by He and Yan, the local integrability condition of the domain is expanded. The local integrability condition can be relaxed with the help of the averaging technique.

Original language	English
Journal	Unknown Journal
Publication status	Published - Apr 1 2019
Externally published	Yes

Keywords

bilinear fractional integral operators
Morrey spaces

ASJC Scopus subject areas

General

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title = "A Note On The Bilinear Fractional Integral Operator Acting On Morrey Spaces",

abstract = "The boundedness of the bilinear fractional integral operator is investigated. This bilinear fractional integral operator goes back to Kenig and Stein. This paper is oriented to the boundedness of this operator on products of Morrey spaces. Compared to the earlier work by He and Yan, the local integrability condition of the domain is expanded. The local integrability condition can be relaxed with the help of the averaging technique.",

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author = "Naoya Hatano and Yoshihiro Sawano",

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AU - Sawano, Yoshihiro

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N2 - The boundedness of the bilinear fractional integral operator is investigated. This bilinear fractional integral operator goes back to Kenig and Stein. This paper is oriented to the boundedness of this operator on products of Morrey spaces. Compared to the earlier work by He and Yan, the local integrability condition of the domain is expanded. The local integrability condition can be relaxed with the help of the averaging technique.

AB - The boundedness of the bilinear fractional integral operator is investigated. This bilinear fractional integral operator goes back to Kenig and Stein. This paper is oriented to the boundedness of this operator on products of Morrey spaces. Compared to the earlier work by He and Yan, the local integrability condition of the domain is expanded. The local integrability condition can be relaxed with the help of the averaging technique.

KW - bilinear fractional integral operators

KW - Morrey spaces

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