Harmonic Analysis: Proceedings of a Conference Held in Cortona, Italy, July 1-9, 1982

by Giancarlo Mauceri (editor)

Un nouveal espace fonctionnel adapte a l'etude des operateurs definis par des integrales singulieres.- Application of Carleson measures to partial differential equations and Fourier multiplier problems.- On the maximal function for the Mehler kernel.- Pointwise behavpour of solutions to Schrödinger equations.- An application of Lp estimates to scattering theory.- Elementary characterizations of the Morrey-Campanato spaces.- On nonisotropic Lipschitz spaces.- Lipschitz spaces on compact rank one symmetric spaces.- On the Sobolev spaces Wk,1(Rn).- Interval averages of H1-functions and BMO norm of inner functions.- An H1 function with non-summable Fourier expansion.- Integral characterization of a space generated by blocks.- Another characterization of Hp, 0

464 pages, Paperback

First published August 8, 1983

Reviews

[HikBook]

Page 271. Plancherel theorem for weighted L^2 spaces has been proved.

Fundamental inequality: |Fourier(f)|_{2,u}=|f|_{2,v} for f simple functions.
Routine arguments allow us to extend this to all L_v^2