SOME ESTIMATES FOR MULTILINEAR COMMUTATORS ON THE WEIGHTED MORREY SPACES

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YE XIAOFENG

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2012 | Volume:6 | Issue:- Page(s): 1-6

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Title

SOME ESTIMATES FOR MULTILINEAR COMMUTATORS ON THE WEIGHTED MORREY SPACES

Author(s)

YE XIAOFENG | Issue Writer Certificate

Keywords

MULTILINEAR COMMUTATORS

WEIGHTED MORREY SPACES

BOUNDED MEAN OSCILLATION

ORLICZ MAXIMAL OPERATOR

Abstract

Purpose: The purpose of this paper is to study the multilinear commutator in weighted Morrey space.Methods: We divide the multilinear commutator into four parts and apply with the methods of weighted Lebesgue space and Perez and Trujillo-Gonzalez.Results: Let b®= (b1, …, bm), bj ∈ BMO (Rn), 1£j£ m; we show that T[1]b is bounded on WEIGHTED MORREY SPACES Lp,κ (w), 1<p<¥, 0<k<1, w∈Ap. When p=1, it is shown that T®b is weak type bounded on weighted Morrey space.Conclusions: We extend the results of the commutator in weighted Morrey space. In particular, for m=1, this result is also new in the classical commutator.

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References

SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS

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APA: Copy

YE, XIAOFENG. (2012). SOME ESTIMATES FOR MULTILINEAR COMMUTATORS ON THE WEIGHTED MORREY SPACES. MATHEMATICAL SCIENCES, 6(-), 1-6. SID. https://sid.ir/paper/322604/en

Vancouver: Copy

YE XIAOFENG. SOME ESTIMATES FOR MULTILINEAR COMMUTATORS ON THE WEIGHTED MORREY SPACES. MATHEMATICAL SCIENCES[Internet]. 2012;6(-):1-6. Available from: https://sid.ir/paper/322604/en

IEEE: Copy

XIAOFENG YE, “SOME ESTIMATES FOR MULTILINEAR COMMUTATORS ON THE WEIGHTED MORREY SPACES,” MATHEMATICAL SCIENCES, vol. 6, no. -, pp. 1–6, 2012, [Online]. Available: https://sid.ir/paper/322604/en

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