Bilinear operators, Singular integrals, Calderón–Zygmund theory, Commutators, Fractional integrals, Weighted estimates
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.
Required Publisher's Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s00209-015-1437-4
© Springer-Verlag Berlin Heidelberg 2015 DOI: 10.1007/s00209-015-1437-4
Bényi, Árpád; Damián, Wendolin; Moen, Kabe; and Torres, Rodolfo H. (Rodolfo Humberto), "Compactness Properties of Commutators of Bilinear Fractional Integrals" (2015). Mathematics Faculty Publications. 42.
Subjects - Topical (LCSH)
Compact operators; Calderón-Zygmund operator; Bilinear transformation method; Commutators (Operator theory)
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