The weighted estimate for the commutator of the generalized fractional integral

Yue Hu, Yanhui Wang, Yueshan Wang
2013 Journal of Mathematical Inequalities  
Let L be the infinitesimal generator of an analytic semigroup on L 2 (R n ) with Gaussian kernel bound, and let L −α/2 be the fractional integral of L for 0 < α < n . Suppose that b is a locally integral function, then the commutator generated by b and L −α/2 is defined by Mathematics subject classification (2010): 42B25, 42B20,42B35.
doi:10.7153/jmi-07-30 fatcat:bswhpbyv3jdchfzsuzsqiqztbm