Mixed norm Lebesgue spaces with variable exponents and applications

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4 Citations (Scopus)

Abstract

In this paper, we introduce the mixed norm Lebesgue spaces with variable exponent. We use this family of function spaces to study Calderón-Zygmund operators on product domains, the Littlewood-Paley operators associated with family of disjoint rectangles, the non-tangential maximal function and the area function for bi-harmonic functions, the Ricci-Stein singular integrals and the characterizations of the function space of bounded mean oscillation. Copyright © 2018 Università Di Parma.
Original languageEnglish
Pages (from-to)21-44
JournalRivista di Matematica della Universita di Parma
Volume9
Issue number1
Publication statusPublished - 2018

Citation

Ho, K.-P. (2018). Mixed norm Lebesgue spaces with variable exponents and applications. Rivista di Matematica della Università di Parma, 9(1), 21-44. Retrieved from http://rivista.math.unipr.it/vols/2018-9-1/02-ho.html

Keywords

  • Mixed-norm spaces
  • Lebesgue spaces with variable exponent
  • Extrapolation
  • Product domains
  • Calderón-Zygmund operators
  • Littlewood-Paley operators
  • Bi-harmonic functions
  • Ricci-Stein singular integrals
  • BMO

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