Boundedness and Continuity of Several Integral Operators with Rough Kernels in WFβSn-1 on Triebel-Lizorkin Spaces

Author

Liu, Feng

Source

Journal of Function Spaces

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-04-26

Country of Publication

Egypt

No. of Pages

18

Main Subjects

Mathematics

Abstract EN

A systematic treatment is given of singular integrals and Marcinkiewicz integrals associated with surfaces generated by polynomial compound mappings as well as related maximal functions with rough kernels in WFβ(Sn-1), which relates to the Grafakos-Stefanov function class.

Certain boundedness and continuity for these operators on Triebel-Lizorkin spaces and Besov spaces are proved by applying some criterions of bounds and continuity for several operators on the above function spaces.

American Psychological Association (APA)

Liu, Feng. 2018. Boundedness and Continuity of Several Integral Operators with Rough Kernels in WFβSn-1 on Triebel-Lizorkin Spaces. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1186528

Modern Language Association (MLA)

Liu, Feng. Boundedness and Continuity of Several Integral Operators with Rough Kernels in WFβSn-1 on Triebel-Lizorkin Spaces. Journal of Function Spaces No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1186528

American Medical Association (AMA)

Liu, Feng. Boundedness and Continuity of Several Integral Operators with Rough Kernels in WFβSn-1 on Triebel-Lizorkin Spaces. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1186528

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1186528