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On a Multiplier Transform

H.P. HEINIG (1973)

Aequationes mathematicae

On an infinite linear combination of partial sums of Fourier series

Rajendra Sinha (1976)

Studia Mathematica

On bounds for the derivates of a complex-valued function on a compact interval.

Henry Kallioniemi (1976)

Mathematica Scandinavica

On convolution operators with small support which are far from being convolution by a bounded measure

Edmond Granirer (1994)

Colloquium Mathematicae

Let $C V_{p} (F)$ be the left convolution operators on $L^{p} (G)$ with support included in F and $M_{p} (F)$ denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that $C V_{p} (F)$ , $C V_{p} (F) / M_{p} (F)$ and $C V_{p} (F) / W$ are as big as they can be, namely have $l^{\infty}$ as a quotient, where the ergodic space W contains, and at times is very big relative to $M_{p} (F)$ . Other subspaces of $C V_{p} (F)$ are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.