Boundedness of Fractional Integrals with a Rough Kernel on the Product Triebel-Lizorkin Spaces

Boundedness of Fractional Integrals with a Rough Kernel on the Product Triebel-Lizorkin Spaces

Year:    2017

Author:    Huihui Zhang, Xiao Yu, Zhongqi Xiang

Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 259–273

Abstract

By using the Littlewood-Paley decomposition and the interpolation theory, we prove the boundedness of fractional integral on the product Triebel-Lizorkin spaces with a rough kernel related to the product block spaces.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2017.03.06

Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 259–273

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    fractional integral block space Triebel-Lizorkin space product space

Author Details

Huihui Zhang

Xiao Yu

Zhongqi Xiang