Darko Mitrovic

  1. On a variant of Tartar's first commutation lemma.

    Authors: Darko Mitrovic
    Subjects: Functional Analysis
    Abstract

    We prove a variant of Tartar's first commutation lemma involving multiplier
    operators with symbols not necessarily defined on a manifold of codimension
    one.

  2. H-distributions -- an extension of the H-measures.

    Authors: Darko Mitrovic, Stevan Pilipovic, Velibor Bojkovic
    Subjects: Functional Analysis
    Abstract

    We prove that that $L^p$, $p\in (1,\infty)$, bound of a multiplier operator
    linearly depends on the $L^\infty$ bound of symbol of the multiplier operator.
    We use the latter properties of the multiplier operators to extend the notion
    of the $H$-measures in the $L^p$ framework.

  3. H-distributions -- an extension of the H-measures.

    Authors: Darko Mitrovic, Stevan Pilipovic, Velibor Bojkovic
    Subjects: Functional Analysis
    Abstract

    We prove that that $L^p$, $p\in (1,\infty)$, bound of a multiplier operator
    linearly depends on the $L^\infty$ bound of symbol of the multiplier operator.
    We use the latter properties of the multiplier operators to extend the notion
    of the $H$-measures in the $L^p$ framework.

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