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. The paper is oriented to the boundedness of the operator on products of Morrey spaces. This paper uses some averaging techniques to control the Morrey norm. Compared to the earlier work by He and Yan, one feels that the technique can be applied to other function spaces. Among others, the averaging operator will reduce the matters to the existing results.

Original language	English
Pages (from-to)	37-44
Number of pages	8
Journal	Transactions of A. Razmadze Mathematical Institute
Volume	173
Issue number	3
Publication status	Published - Dec 2019
Externally published	Yes

Keywords

Morrey spaces; Bilinear fractional integral operators

ASJC Scopus subject areas

Mathematics(all)

Cite this

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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. The paper is oriented to the boundedness of the operator on products of Morrey spaces. This paper uses some averaging techniques to control the Morrey norm. Compared to the earlier work by He and Yan, one feels that the technique can be applied to other function spaces. Among others, the averaging operator will reduce the matters to the existing results.",

keywords = "Morrey spaces; Bilinear fractional integral operators",

author = "Naoya Hatano and Yoshihiro Sawano",

note = "Funding Information: The second-named author was supported by Grant-in-Aid for Scientific Research (C) (16K05209), the Japan Society for the Promotion of Science. The authors are thankful to Dr. Toru Nogayama for his careful reading the paper and his pointing out some typos. The authors are also thankful to Professor Komori–Furuya Yasuo for his kind introduction to [14, 15]. Publisher Copyright: {\textcopyright} 2019 A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University. All rights reserved.",

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language = "English",

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AU - Sawano, Yoshihiro

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PY - 2019/12

Y1 - 2019/12

N2 - The boundedness of the bilinear fractional integral operator is investigated. This bilinear fractional integral operator goes back to Kenig and Stein. The paper is oriented to the boundedness of the operator on products of Morrey spaces. This paper uses some averaging techniques to control the Morrey norm. Compared to the earlier work by He and Yan, one feels that the technique can be applied to other function spaces. Among others, the averaging operator will reduce the matters to the existing results.

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A note on the bilinear fractional integral operator acting on morrey spaces

Abstract

Keywords

ASJC Scopus subject areas

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