Multiplier Transformations of Weak Type

Let$1 < p < 2$. On several of the classical groups arising in Fourier analysis, including the n-torus and Euclidean n-space, we show that there exists a multiplier which is of weak type (p, p), but which is not bounded on Lp.

Bibliographische Detailangaben

Veröffentlicht in:	Annals of mathematics 1975-01, Vol.101 (1), p.34-44
1. Verfasser:	Zafran, Misha
Format:	Artikel
Sprache:	eng
Schlagworte:	Banach space Fourier analysis Fourier transformations Integers Interpolation Linear transformations Mathematical inequalities Mathematical integrals Mathematical theorems Series convergence
Online-Zugang:	Volltext
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