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Revisiting Taibleson's theorem

  • Received: 26 November 2021 Revised: 25 January 2022 Accepted: 26 January 2022 Published: 10 February 2022
  • A new characterization of the weighted Taibleson's theorem for generalized Hölder spaces is given via a Hadamard-Liouville type operator (Djrbashian's generalized fractional operator).

    Citation: Humberto Rafeiro, Joel E. Restrepo. Revisiting Taibleson's theorem[J]. Electronic Research Archive, 2022, 30(2): 565-573. doi: 10.3934/era.2022029

    Related Papers:

  • A new characterization of the weighted Taibleson's theorem for generalized Hölder spaces is given via a Hadamard-Liouville type operator (Djrbashian's generalized fractional operator).



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    [8] F. E. Enriquez, Characterization of spaces with non-integer differentiation in terms of harmonic prolongations[Master's Thesis]. Moscow: Peoples Friendship University of Russia; 1995.
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    [10] A. M. Jerbashian, J. E. Restrepo, A boundary property of some subclasses of functions of bounded type in the half-plane, Fract. Calc. Appl. Anal., 20 (2017), 1531–1544. https://doi.org/10.1515/fca-2017-0080 doi: 10.1515/fca-2017-0080
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