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## Colloquium Mathematicum

1994 | 67 | 1 | 33-60
Tytuł artykułu

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

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Let $CV_p(F)$ 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 $CV_p(F)$, $CV_p(F)/M_p(F)$ and $CV_p(F)/W$ are as big as they can be, namely have $l^∞$ as a quotient, where the ergodic space W contains, and at times is very big relative to $M_p(F)$. Other subspaces of $CV_p(F)$ are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
33-60
Opis fizyczny
Daty
wydano
1994
otrzymano
1993-05-17
poprawiono
1993-08-25
Twórcy
autor
• Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z2
Bibliografia
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