@Article{CMR-33-73,
author = {Liu , XianjunLi , Wenming and Yan , Xuefang},
title = {Endpoint Estimates for Commutators of Fractional Integrals Associated to Operators with Heat Kernel Bounds},
journal = {Communications in Mathematical Research },
year = {2019},
volume = {33},
number = {1},
pages = {73--84},
abstract = {<p style="text-align: justify;">Let $L$ be the infinitesimal generator of an analytic semigroup on $L^2({\bf R}^n)$ with pointwise upper bounds on heat kernel, and denote by $L^{-\alpha/2}$ the fractional integrals of L. For a BMO function $b(x)$, we show a weak type $L{\rm log}L$ estimate of the commutators $[b,\ L^{-\alpha/2}](f)(x)=b(x)L^{-\alpha/2}(f)(x)-L^{-\alpha/2}(bf)(x)$. We give applications to large classes of differential operators such as the Schrödinger operators and second-order elliptic operators of divergence form.&nbsp;</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2017.01.08},
url = {http://global-sci.org/intro/article_detail/cmr/13447.html}
}