Applications of Littlewood-Paley Theory for B˙σ-Morrey Spaces to the Boundedness of Integral Operators

Joint Authors

Sawano, Yoshihiro
Nakai, Eiichi
Matsuoka, Katsuo
Komori-Furuya, Yasuo

Source

Journal of Function Spaces

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-21, 21 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-03-13

Country of Publication

Egypt

No. of Pages

21

Main Subjects

Mathematics

Abstract EN

The boundedness of the various operators on B˙σ-Morrey spaces is considered in the framework of the Littlewood-Paley decompositions.

First, the Littlewood-Paley characterization of B˙σ-Morrey-Campanato spaces is established.

As an application, the boundedness of Riesz potential operators is revisted.

Also, a characterization of B˙σ-Lipschitz spaces is obtained: and, as an application, the boundedness of Riesz potential operators on B˙σ-Lipschitz spaces is discussed.

American Psychological Association (APA)

Komori-Furuya, Yasuo& Matsuoka, Katsuo& Nakai, Eiichi& Sawano, Yoshihiro. 2013. Applications of Littlewood-Paley Theory for B˙σ-Morrey Spaces to the Boundedness of Integral Operators. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-1006296

Modern Language Association (MLA)

Komori-Furuya, Yasuo…[et al.]. Applications of Littlewood-Paley Theory for B˙σ-Morrey Spaces to the Boundedness of Integral Operators. Journal of Function Spaces No. 2013 (2013), pp.1-21.
https://search.emarefa.net/detail/BIM-1006296

American Medical Association (AMA)

Komori-Furuya, Yasuo& Matsuoka, Katsuo& Nakai, Eiichi& Sawano, Yoshihiro. Applications of Littlewood-Paley Theory for B˙σ-Morrey Spaces to the Boundedness of Integral Operators. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-1006296

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1006296