Let L be an analytic semigroup on L2 (Rn ) with Gaussian kernel bound, and let L− α2 be the fractional operator associated to L for 0 < α < n. In this paper, we prove some boundedness properties for the commutator [b, L− α2 ] on Mixed Morrey spaces Lq,µ(0, T, Lp,λ (Rn )), when b belongs to BMO(Rn ) or to suitable homogeneous Lipschitz spaces.
Operators with gaussian kernel bounds on mixed morrey spaces
Anceschi F.;
2019-01-01
Abstract
Let L be an analytic semigroup on L2 (Rn ) with Gaussian kernel bound, and let L− α2 be the fractional operator associated to L for 0 < α < n. In this paper, we prove some boundedness properties for the commutator [b, L− α2 ] on Mixed Morrey spaces Lq,µ(0, T, Lp,λ (Rn )), when b belongs to BMO(Rn ) or to suitable homogeneous Lipschitz spaces.
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