<p><i>This paper is a review of the results obtained by the authors on the following topics</i>&#xa0;:&#xa0; <i>variants of the Marcinkiewicz interpolation theorem, the Carleson–Hörmander–Duren theorem, Hardy–Littlewood inequalities, estimates for fractional integrals, tangential boundary behavior, and atomic decompositions. Bibliography</i>&#xa0;:&#xa0; 46 <i>titles.</i></p>

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SPACES OF HARDY–LORENTZ TYPE AND THEIR APPLICATIONS

  • Veniamin Krotov,
  • Maria Loginovskaya

摘要

This paper is a review of the results obtained by the authors on the following topics :  variants of the Marcinkiewicz interpolation theorem, the Carleson–Hörmander–Duren theorem, Hardy–Littlewood inequalities, estimates for fractional integrals, tangential boundary behavior, and atomic decompositions. Bibliography :  46 titles.