Sobolev spaces associated to singular and fractional Radon transforms

• Brian Street ^[1]
  1. [1] University of Wisconsin–Madison

     University of Wisconsin–Madison

     City of Madison, Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 2, 2017, págs. 633-748
• Idioma: inglés
• DOI: 10.4171/RMI/953
• Texto completo no disponible (Saber más ...)
• Resumen

  • The purpose of this paper is to study the smoothing properties (in Lp Sobolev spaces) of operators of the form f↦ψ(x)∫f(γt(x))K(t)dt, where γt(x) is a C∞ function defined on a neighborhood of the origin in (t,x)∈RN×Rn, satisfying γ0(x)≡x, ψ is a C∞ cut-off function supported on a small neighborhood of 0∈Rn, and K is a "multi-parameter fractional kernel" supported on a small neighborhood of 0∈RN...