Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates

• Autorzy: María J. Carro , Elena Prestini
• Języki publikacji: EN

Abstrakty

EN

We prove some extrapolation results for operators bounded on radial $L^{p}$ functions with p ∈ (p₀,p₁) and deduce some endpoint estimates. We apply our results to prove the almost everywhere convergence of the spherical partial Fourier integrals and to obtain estimates on maximal Bochner-Riesz type operators acting on radial functions in several weighted spaces.

Kategorie tematyczne

• 42B10: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
• 26D10: Inequalities involving derivatives and differential and integral operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 192
• Numer: 2
• Strony: 173-194

Daty

wydano

2009

Twórcy

autor

María J. Carro

• Departament de Matemática Aplicada i Análisi, Universitat de Barcelona, 08071 Barcelona, Spain

autor

Elena Prestini

• Dipartimento di Matematica, Università di Roma "Tor Vergata", 00133 Rome, Italy

Identyfikatory

DOI

10.4064/sm192-2-5