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arxiv: 1310.3865 · v1 · pith:FWXDMFB5new · submitted 2013-10-14 · 🧮 math.CA

Compactness properties of commutators of bilinear fractional integrals

classification 🧮 math.CA
keywords bilinearcommutatorscompactfractionalfunctionsoperatorsboundedcertain
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Commutators of a large class of bilinear operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be jointly compact. Under a similar commutation, fractional integral versions of the bilinear Hilbert transform yield separately compact operators.

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