Characterization of compactness of commutators of bilinear singular integral operators
Copyright policy )Characterization of compactness of commutators of bilinear singular integral operators
The commutators of bilinear Calderón–Zygmund operators and pointwise multiplication with a symbol in C M O \mathrm {CMO} are bilinear compact operators on products of Lebesgue spaces. We show that, for certain non-degenerate Calderón–Zygmund operators, the symbol being in C M O \mathrm {CMO} is not only sufficient but actually necessary for the compactness of the commutators.
- University of South Australia Australia
- University of Adelaide Australia
- Sun Yat-sen University China (People's Republic of)
- Eastern Washington University United States
- University of Kansas United States
Singular and oscillatory integrals (Calderón-Zygmund, etc.), Calderón-Zygmund theory, Integral, integro-differential, and pseudodifferential operators, commutators, bilinear operators, Mathematics - Classical Analysis and ODEs, bounded mean oscillation, Linear operators defined by compactness properties, Classical Analysis and ODEs (math.CA), FOS: Mathematics, CMO, singular integrals, Function spaces arising in harmonic analysis, 42B20, 47B07, 42B35, Calder'on-Zygmund theory, compact operators
Singular and oscillatory integrals (Calderón-Zygmund, etc.), Calderón-Zygmund theory, Integral, integro-differential, and pseudodifferential operators, commutators, bilinear operators, Mathematics - Classical Analysis and ODEs, bounded mean oscillation, Linear operators defined by compactness properties, Classical Analysis and ODEs (math.CA), FOS: Mathematics, CMO, singular integrals, Function spaces arising in harmonic analysis, 42B20, 47B07, 42B35, Calder'on-Zygmund theory, compact operators
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