The spectral theory of multiplication operators and the recurrence properties for nondifferentiable functions in the Zygmund class ?*a

Autor: Anderson, J. M., Housworth, E. A., Pitt, L. D.
Zdroj: Mathematika; June 1992, Vol. 39 Issue: 1 p136-151, 16p
Abstrakt: Abstract. Let ? be in the disc algebra H?C(T) with its restriction to Tin the Zygmund space of smooth functions ?*(T). If P(?') Tis the set of Plessner points of ?' and if F= ? + ?, where ?C1(T), it is shown that F(P(?')) C is a set of zero linear Hausdorff measure. Applications are given to the spectral theory of multiplication operators.
Databáze: Supplemental Index