Ji Li

Compactness of the bloom sparse operators and applications

Abstract We establish the characterization of compactness for the sparse operator (associated with symbol in weighted VMO space) in the two weight setting on the spaces of homogeneous type in the sense of Coifman and Weiss. As an application, we obtain the compactness characteriz...

Lacunary δ‐Discretized Spherical Maximal Operators

ABSTRACT We study the lacunary analog of the ‐discretized spherical maximal operators introduced by Hickman and Jančar, for , and establish the boundedness on for all , along with the endpoint weak‐type estimate . We also prove the corresponding boundedness for the multi‐paramete...