IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Harmonic Besov and Triebel-Lizorkin Spaces on the Ball

A 2016 Preprint by K. Ivanov and P. Petrushev

  • 2016:02
  • Harmonic Besov and Triebel-Lizorkin spaces on the unit ball in R^d with full range of parameters are introduced and studied. It is shown that these spaces can be identified with respective Besov and Triebel-Lizorkin spaces of distributions on the sphere. Frames consisting of harmonic functions are also developed and frame characterization of the harmonic Besov and Triebel-Lizorkin spaces is established.

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