Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces

Joint Authors

Wang, Zhiheng
Si, Zengyan

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-01

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

Let L be the infinitesimal generator of an analytic semigroup on L2(Rn) with Gaussian kernel bounds, and let L-α/2 be the fractional integrals of L for 0<α

For any locally integrable function b, the commutators associated with L-α/2 are defined by [b,L-α/2](f)(x)=b(x)L-α/2(f)(x)-L-α/2(bf)(x).

When b∈BMO(ω) (weighted BMO space) or b∈BMO, the authors obtain the necessary and sufficient conditions for the boundedness of [b,L-α/2] on weighted Morrey spaces, respectively.

American Psychological Association (APA)

Wang, Zhiheng& Si, Zengyan. 2014. Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013891

Modern Language Association (MLA)

Wang, Zhiheng& Si, Zengyan. Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1013891

American Medical Association (AMA)

Wang, Zhiheng& Si, Zengyan. Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013891

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013891