Some Estimates for Commutators of Fractional Integrals Associated to Operators with Gaussian Kernel Bounds on Weighted Morrey Spaces
Year: 2013
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 1 : pp. 72–85
Abstract
Let $L$ be the infinitesimal generator of an analytic semigroup on $L^2(\mathbf R^n)$ with Gaussian kernel bound, and let $L^{-\alpha/2}$ be the fractional integrals of $L$ for $0 < \alpha < n$. In this paper, we will obtain some boundedness properties of commutators $\big[b,L^{-\alpha/2}\big]$ on weighted Morrey spaces $L^{p,\kappa}(w)$ when the symbol $b$ belongs to $BMO(\mathbf R^n)$ or the homogeneous Lipschitz space.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2013.v29.n1.8
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 1 : pp. 72–85
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Gaussian upper bound fractional integral weighted Morrey space commutator.
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Multilinear Singular and Fractional Integral Operators on Weighted Morrey Spaces
Wang, Hua
Yi, Wentan
Journal of Function Spaces and Applications, Vol. 2013 (2013), Iss. P.1
https://doi.org/10.1155/2013/735795 [Citations: 6]