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Volume 33, Issue 3
Boundedness of Fractional Integrals with a Rough Kernel on the Product Triebel-Lizorkin Spaces

Huihui Zhang, Xiao Yu & Zhongqi Xiang

Commun. Math. Res., 33 (2017), pp. 259-273.

Published online: 2019-11

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  • 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.

  • AMS Subject Headings

42B20, 42B25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zhanghuihuinb@163.com (Huihui Zhang)

yx2000s@163.com (Xiao Yu)

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@Article{CMR-33-259, author = {Zhang , HuihuiYu , Xiao and Xiang , Zhongqi}, title = {Boundedness of Fractional Integrals with a Rough Kernel on the Product Triebel-Lizorkin Spaces}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {3}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.03.06}, url = {http://global-sci.org/intro/article_detail/cmr/13384.html} }
TY - JOUR T1 - Boundedness of Fractional Integrals with a Rough Kernel on the Product Triebel-Lizorkin Spaces AU - Zhang , Huihui AU - Yu , Xiao AU - Xiang , Zhongqi JO - Communications in Mathematical Research VL - 3 SP - 259 EP - 273 PY - 2019 DA - 2019/11 SN - 33 DO - http://doi.org/10.13447/j.1674-5647.2017.03.06 UR - https://global-sci.org/intro/article_detail/cmr/13384.html KW - fractional integral, block space, Triebel-Lizorkin space, product space AB -

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.

Zhang , HuihuiYu , Xiao and Xiang , Zhongqi. (2019). Boundedness of Fractional Integrals with a Rough Kernel on the Product Triebel-Lizorkin Spaces. Communications in Mathematical Research . 33 (3). 259-273. doi:10.13447/j.1674-5647.2017.03.06
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