REGULARITY OF COMMUTATORS OF THE BILINEAR MAXIMAL OPERATOR
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In this paper, the authors introduce and study the regularity properties of the commutator of the bilinear maximal operator and the bilinear maximal commutator. More precisely, they establish the bounds and continuity for the commutators of the bilinear maximal operator and the bilinear maximal commutator on the Sobolev spaces, the inhomogeneous Triebel-Lizorkin spaces, and the inhomogeneous Besov spaces.
Maximal functions, Littlewood-Paley theory, Triebel-Lizorkin space, bilinear maximal commutator, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Sobolev space, Besov space, commutator of bilinear maximal operator
Maximal functions, Littlewood-Paley theory, Triebel-Lizorkin space, bilinear maximal commutator, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Sobolev space, Besov space, commutator of bilinear maximal operator
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