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Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
Compactness Properties Of Commutators Of Bilinear Fractional Integrals, Árpád Bényi, Wendolin Damián, Kabe Moen, Rodolfo H. (Rodolfo Humberto) Torres
Compactness Properties Of Commutators Of Bilinear Fractional Integrals, Árpád Bényi, Wendolin Damián, Kabe Moen, Rodolfo H. (Rodolfo Humberto) Torres
Mathematics Faculty Publications
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.
Smoothing Of Commutators For A Hörmander Class Of Bilinear Pseudodifferential Operators, Árpád Bényi, Tadahiro Oh
Smoothing Of Commutators For A Hörmander Class Of Bilinear Pseudodifferential Operators, Árpád Bényi, Tadahiro Oh
Mathematics Faculty Publications
Commutators of bilinear pseudodifferential operators with symbols in the Hörmander class BS11,0 and multiplication by Lipschitz functions are shown to be bilinear Calderón-Zygmund operators. A connection with a notion of compactness in the bilinear setting for the iteration of the commutators is also made.
Compact Bilinear Operators And Commutators, Árpád Bényi, Rodolfo H. (Rodolfo Humberto) Torres
Compact Bilinear Operators And Commutators, Árpád Bényi, Rodolfo H. (Rodolfo Humberto) Torres
Mathematics Faculty Publications
A notion of compactness in the bilinear setting is explored. Moreover, commutators of bilinear Calderon-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be compact.