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Full-Text Articles in Physical Sciences and Mathematics
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.
On The Hörmander Classes Of Bilinear Pseudodifferential Operators, Árpád Bényi, Diego Maldonado, Virginia Naibo, Rodolfo H. (Rodolfo Humberto) Torres
On The Hörmander Classes Of Bilinear Pseudodifferential Operators, Árpád Bényi, Diego Maldonado, Virginia Naibo, Rodolfo H. (Rodolfo Humberto) Torres
Mathematics Faculty Publications
Bilinear pseudodifferential operators with symbols in the bilinear analog of all the Hörmander classes are considered and the possibility of a symbolic calculus for the transposes of the operators in such classes is investigated. Precise results about which classes are closed under transposition and can be characterized in terms of asymptotic expansions are presented. This work extends the results for more limited classes studied before in the literature and, hence, allows the use of the symbolic calculus (when it exists) as an alternative way to recover the boundedness on products of Lebesgue spaces for the classes that yield operators with …