A convolution property of the Cantor-Lebesgue measure, II

Daniel M. Oberlin. "A convolution property of the Cantor-Lebesgue measure, II." Colloquium Mathematicae 97.1 (2003): 23-28. <http://eudml.org/doc/284489>.

@article{DanielM2003,
abstract = {For 1 ≤ p,q ≤ ∞, we prove that the convolution operator generated by the Cantor-Lebesgue measure on the circle is a contraction whenever it is bounded from $L^\{p\}()$ to $L^\{q\}()$. We also give a condition on p which is necessary if this operator maps $L^\{p\}()$ into L²().},
author = {Daniel M. Oberlin},
journal = {Colloquium Mathematicae},
keywords = {circle group; convolution operator},
language = {eng},
number = {1},
pages = {23-28},
title = {A convolution property of the Cantor-Lebesgue measure, II},
url = {http://eudml.org/doc/284489},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Daniel M. Oberlin
TI - A convolution property of the Cantor-Lebesgue measure, II
JO - Colloquium Mathematicae
PY - 2003
VL - 97
IS - 1
SP - 23
EP - 28
AB - For 1 ≤ p,q ≤ ∞, we prove that the convolution operator generated by the Cantor-Lebesgue measure on the circle is a contraction whenever it is bounded from $L^{p}()$ to $L^{q}()$. We also give a condition on p which is necessary if this operator maps $L^{p}()$ into L²().
LA - eng
KW - circle group; convolution operator
UR - http://eudml.org/doc/284489
ER -