Some remarks on boundary operators of bessel extensions

Jesse Goodman, Daniel Spector*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this paper we study some boundary operators of a class of Bessel-type Littlewood-Paley extensions whose prototype is ?xu(x, y) + 1 - 2s?u?y (x, y) + ??y2u2 (x, y) = 0 for x ? Rd, y > 0, y u(x, 0) = f(x) for x ? Rd. In particular, we show that with a logarithmic scaling one can capture the failure of analyticity of these extensions in the limiting cases s = k ? N.

Original languageEnglish
Pages (from-to)493-509
Number of pages17
JournalDiscrete and Continuous Dynamical Systems - Series S
Issue number3
Publication statusPublished - 2018 Jun


  • Bessel functions
  • Boundary operator
  • Functional calculus
  • Laplacian
  • Littlewood-Paley extension

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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