Let Formula: see text be a homogeneous function of degree zero on the unit sphere Formula: see text satisfying the zero-mean condition and belonging to Formula: see text for some Formula: see text. In this paper, we establish the boundedness of the singular integral operator Formula: see text with kernel Formula: see text on Bourgain-Morrey space Formula: see text, and we also consider its related maximal operator Formula: see text. Suppose Formula: see text, the commutator Formula: see text generated by the function Formula: see text and the operator Formula: see text is investigated as well. We further prove that Formula: see text is the sufficient condition for the boundedness of the commutator Formula: see text on Bourgain-Morrey space Formula: see text.
Cheng et al. (Wed,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: