广义Morrey 空间上带变量核的Littlewood-Paley 算子

Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 630-642.

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Littlewood-Paley Operator with Variable Kernel in Generalized Morrey Spaces

(Department of Mathematics and Mechanics, Applied Science School, University of Science and Technology Beijing, |Beijing 100083)；(School of Mathematics, Laboratory of Mathematics and Complex Systems (BNU) Ministry of Education, China, Beijing Normal University, Beijing 100875)

Received:2007-09-12 Revised:2008-12-12 Online:2009-06-25 Published:2009-06-25
Supported by:
国家自然科学基金(10571015, 10826046)和高等学校博士学科点专项科研基金(20050027025)资助

Abstract

Abstract:

In this paper the authors study the boundedness for a class of parabolic Littlewood-Paley operator g_Φ with variable kernels in generalized Morrey spaces L^p^, ^ω(Rⁿ). As an application of the above result, the boundeness of the commutator [b, g_Φ], formed by g_Φ and a BMO(Rⁿ)function b(x) in L^p, ω(Rⁿ) is also obtained.

Key words: Littlewood-Paley operator, , Variable kernel, , Commutator, , Morrey space

CLC Number:

42B20

CHEN Yan-Ping, DING Yong. Littlewood-Paley Operator with Variable Kernel in Generalized Morrey Spaces[J].Acta mathematica scientia,Series A, 2009, 29(3): 630-642.

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References

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Littlewood-Paley Operator with Variable Kernel in Generalized Morrey Spaces

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