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Diego Maldonado

  1. On the H\"ormander classes of bilinear pseudodifferential operators.

    Mon, 09/28/2009 - 15:24 — SomNambul
    Authors: Diego Maldonado, Virginia Naibo, Árpád Bényi, Rodolfo H. Torres
    Subjects: Classical Analysis and ODEs
    Abstract

    Bilinear pseudodifferential operators with symbols in the bilinear analog of
    all the H\"ormander 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.

  2. On the H\"ormander classes of bilinear pseudodifferential operators.

    Mon, 09/28/2009 - 15:24 — SomNambul
    Authors: Diego Maldonado, Virginia Naibo, Árpád Bényi, Rodolfo H. Torres
    Subjects: Classical Analysis and ODEs
    Abstract

    Bilinear pseudodifferential operators with symbols in the bilinear analog of
    all the H\"ormander 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.

  3. Weighted multilinear Poincare inequalities for vector fields of Hormander type.

    Wed, 09/09/2009 - 22:08 — SomNambul
    Authors: Diego Maldonado, Kabe Moen, Virginia Naibo
    Subjects: Classical Analysis and ODEs
    Abstract

    As the classical $(p,q)$-Poincar\'e inequality is known to fail for $0 < p <
    1$, we introduce the notion of weighted multilinear Poincar\'e inequality as a
    natural alternative when $m$-fold products and $1/m < p$ are considered. We
    prove such weighted multilinear Poincar\'e inequalities in the subelliptic
    context associated to vector fields of H\"ormader type. We do so by
    establishing multilinear representation formulas and weighted estimates for
    multilinear potential operators in spaces of homogeneous type.

  4. Weighted multilinear Poincare inequalities for vector fields of Hormander type.

    Wed, 09/09/2009 - 22:08 — SomNambul
    Authors: Diego Maldonado, Kabe Moen, Virginia Naibo
    Subjects: Classical Analysis and ODEs
    Abstract

    As the classical $(p,q)$-Poincar\'e inequality is known to fail for $0 < p <
    1$, we introduce the notion of weighted multilinear Poincar\'e inequality as a
    natural alternative when $m$-fold products and $1/m < p$ are considered. We
    prove such weighted multilinear Poincar\'e inequalities in the subelliptic
    context associated to vector fields of H\"ormader type. We do so by
    establishing multilinear representation formulas and weighted estimates for
    multilinear potential operators in spaces of homogeneous type.

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