Boundedness and Compactness of Integral Operators on Spaces of Homogeneous Type and Applications, II

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Compactness of Riesz transform commutator on stratified Lie groups (2018, background): “Later on and recently, there has been an intensive study of the compactness of commutators of singular integrals in many different settings, such as the Riesz transform associated with Bessel operator on the positive real line, the Cauchy’s integrals on the real line, the Calderón– Zygmund operator ”
Compactness of Commutators of Riesz Potential on Morrey Spaces (2009, methodology): “In fact, the authors of [10 ]a nd [ 11 ] have applied commutator theory to give a compactness characterization of Hankel operators on holomorphic Hardy spaces H 2 (D) ,w here D is a bounded, strictly pseudoconvex domain in C n . It is perhaps for this important reason that the compactness of [b , T]”