Some estimates for commutators of fractional integrals associated to operators with Gaussian kernel bounds on weighted Morrey spaces

Hua Wang

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arXiv · 1202.5740

Some estimates for commutators of fractional integrals associated to operators with Gaussian kernel bounds on weighted Morrey spaces

Hua Wang

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Abstract

Let $L$ be the infinitesimal generator of an analytic semigroup on $L^2(\mathbb R^n)$ 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 the weighted Morrey spaces $L^{p,\kappa}(w)$ when the symbol $b$ belongs to $BMO(\mathbb R^n)$ or homogeneous Lipschitz space.

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BibTeX RIS

Hua Wang. 2012-02-26. Some estimates for commutators of fractional integrals associated to operators with Gaussian kernel bounds on weighted Morrey spaces. https://arxiv.org/abs/1202.5740

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