A convolution property of the Cantor-Lebesgue measure, II
Daniel M. Oberlin (2003)
Colloquium Mathematicae
Similarity:
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 to . We also give a condition on p which is necessary if this operator maps into L²().