Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces

Author

Wang, Hua

Source

Journal of Function Spaces

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-18, 18 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-10-31

Country of Publication

Egypt

No. of Pages

18

Main Subjects

Mathematics

Abstract EN

We first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space as special cases.

Then, we discuss the strong-type and weak-type estimates for a class of Calderón–Zygmund type operators Tθ in these new Morrey type spaces.

Furthermore, the strong-type estimate and endpoint estimate of commutators [b,Tθ] formed by b and Tθ are established.

Also, we study related problems about two-weight, weak-type inequalities for Tθ and [b,Tθ] in the Morrey type spaces and give partial results.

American Psychological Association (APA)

Wang, Hua. 2016. Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1108560

Modern Language Association (MLA)

Wang, Hua. Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces. Journal of Function Spaces No. 2016 (2016), pp.1-18.
https://search.emarefa.net/detail/BIM-1108560

American Medical Association (AMA)

Wang, Hua. Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1108560

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1108560