Two-weighted criteria for integral transforms with multiple kernels

Tom 72 / 2006

Vakhtang Kokilashvili, Alexander Meskhi Banach Center Publications 72 (2006), 119-140 MSC: 47G10, 26A33, 31B15, 46E30. DOI: 10.4064/bc72-0-9

Streszczenie

Necessary and sufficient conditions governing two-weight $L^p$ norm estimates for multiple Hardy and potential operators are presented. Two-weight inequalities for potentials defined on nonhomogeneous spaces are also discussed. Sketches of the proofs for most of the results are given.

Autorzy

  • Vakhtang KokilashviliInternational Black Sea University
    2, Agmashenebeli Alley 13th km.
    Tbilisi 0131,
    Georgia
    e-mail
  • Alexander MeskhiA. Razmadze Mathematical Institute
    Georgian Academy of Sciences
    1, M. Aleksidze St.
    0193 Tbilisi, Georgia
    and
    Scuola Normale Superiore
    Piazza dei Cavalieri 7
    56126 Pisa, Italy
    e-mail

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