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Necessary conditions on composition operators acting between Besov spaces. The case 1 < s < n/p. III

Published/Copyright: March 9, 2009
Forum Mathematicum
From the journal Volume 10 Issue 3

Abstract

Let G: ℝ → ℝ be a continuous function. Denote by TG the corresponding composition operator which sends ƒ to G(ƒ). Then we investigate consequences for the parameters s, p, and r of the inclusion

Here Bsp, q denotes a Besov space.

(Communicated by Giorgio Talenti)

Received: 1996-06-25
Revised: 1997-03-20
Published Online: 2009-03-09
Published in Print: 1998-05-08

© Walter de Gruyter

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  1. Filtrations in feedback synthesis: Part II – Input-output decoupling and disturbance decoupling
  2. Necessary and sufficient conditions for the almost-positivity of certain 4th-order pseudodifferential operators. A generalization
  3. Necessary conditions on composition operators acting between Besov spaces. The case 1 < s < n/p. III
  4. Regular split embedding problems over complete valued fields
  5. On convergence theorems for space quasiregular mappings
  6. Extensions of three classical theorems to modules with maximum condition for finite matrix subgroups
https://doi.org/10.1515/form.10.3.303

Articles in the same Issue

  1. Filtrations in feedback synthesis: Part II – Input-output decoupling and disturbance decoupling
  2. Necessary and sufficient conditions for the almost-positivity of certain 4th-order pseudodifferential operators. A generalization
  3. Necessary conditions on composition operators acting between Besov spaces. The case 1 < s < n/p. III
  4. Regular split embedding problems over complete valued fields
  5. On convergence theorems for space quasiregular mappings
  6. Extensions of three classical theorems to modules with maximum condition for finite matrix subgroups
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