Weighted Herz Spaces and Regularity Results

Joint Authors

Guo, Yuxing
Jiang, Yinsheng

Source

Journal of Function Spaces and Applications

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-08-28

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

It is proved that, for the nondivergence form elliptic equations ∑i,j=1naijuxixj=f, if f belongs to the weighted Herz spaces Kpq(φ,w), then uxixj∈Kpq(φ,w), where u is the W2,p-solution of the equations.

In order to obtain this, the authors first establish the weighted boundedness for the commutators of some singular integral operators on Kpq(φ,w).

American Psychological Association (APA)

Guo, Yuxing& Jiang, Yinsheng. 2012. Weighted Herz Spaces and Regularity Results. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-460216

Modern Language Association (MLA)

Guo, Yuxing& Jiang, Yinsheng. Weighted Herz Spaces and Regularity Results. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-460216

American Medical Association (AMA)

Guo, Yuxing& Jiang, Yinsheng. Weighted Herz Spaces and Regularity Results. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-460216

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-460216