Logarithmic Bloch spaces in the polydisc, endpoint results for Hankel operators and pointwise multipliers

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Abstract

We define two notions of Logarithmic Bloch space in the polydisc for which we provide equivalent definitions in terms of symbols of bounded Hankel operators. We also provide a full characterization of the pointwise multipliers between two different Bloch spaces of the unit polydisc.

Original languageEnglish
Article number129244
JournalJournal of Mathematical Analysis and Applications
Volume546
Issue number1
DOIs
Publication statusPublished - 1 Jun 2025

Keywords

  • Bergman space
  • Bloch space
  • Hankel operator
  • Multiplier algebra
  • Polydisc

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