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In this paper, we establish the boundedness of the $m$-linear Calder\'{o}n-Zygmund operators on product of central Morrey spaces with variable exponent. The corresponding boundedness properties of their commutators with $\lambda$-central {\rm BMO} symbols are also considered. Finally, we prove that the multilinear commutators of Calder\'{o}n-Zygmund singular integrals introduced by P\'{e}rez and Trujillo-Gonz\'{a}lez are bounded on central Morrey spaces with variable exponent. Our results improve and generalize some previous classical results to the variable exponent setting.
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참고문헌 (34)
참고문헌 신청
A. Almeida / 2008 / Maximal and potential operators in variable exponent Morrey spaces / Georgian Math. J 15(2):195~208
J. Alvarez / 2000 / Spaces of bounded λ-central mean os-cillation, Morrey spaces, and λ-central Carleson measures / Collect. Math 51(1):1~47
Yunmei Chen / 2006 / Variable Exponent, Linear Growth Functionals in Image Restoration / SIAM Journal on Applied Mathematics 66(4):1383~1406
R. R. Coifman / 1975 / On Commutators of Singular Integrals and Bilinear Singular Integrals / Transactions of the American Mathematical Society 212:315~331
R. R. Coifma / 1978 / Commutateurs d'integrales singulieres et operateurs multilineaires / Ann. Inst. Fourier, Grenoble 28:177~202
J. Alvarez / 2000 / Spaces of bounded λ-central mean os-cillation, Morrey spaces, and λ-central Carleson measures / Collect. Math 51(1):1~47
Yunmei Chen / 2006 / Variable Exponent, Linear Growth Functionals in Image Restoration / SIAM Journal on Applied Mathematics 66(4):1383~1406
R. R. Coifman / 1975 / On Commutators of Singular Integrals and Bilinear Singular Integrals / Transactions of the American Mathematical Society 212:315~331
R. R. Coifma / 1978 / Commutateurs d'integrales singulieres et operateurs multilineaires / Ann. Inst. Fourier, Grenoble 28:177~202
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