On convolution operators with small support which are far from being convolution by a bounded measure
Colloquium Mathematicum, Tome 67 (1994) no. 1, pp. 33-60
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_cm_67_1_33_60,
author = {Edmond Granirer},
title = {On convolution operators with small support which are far from being convolution by a bounded measure},
journal = {Colloquium Mathematicum},
pages = {33--60},
year = {1994},
volume = {67},
number = {1},
doi = {10.4064/cm-67-1-33-60},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-67-1-33-60/}
}
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Edmond Granirer. On convolution operators with small support which are far from being convolution by a bounded measure. Colloquium Mathematicum, Tome 67 (1994) no. 1, pp. 33-60. doi: 10.4064/cm-67-1-33-60
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