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

Autor: Anderson, J. M., Housworth, E. A., Pitt, L. D.
Zdroj: Mathematika; 06/01/1992, Vol. 39 Issue 1, p136-151, 16p
Abstrakt: Abstract. Let Φ be in the disc algebra H∞ C(T) with its restriction to T in the Zygmund space of smooth functions λ*(T). If P(Φ') T is the set of Plessner points of Φ' and if F = Φ + Ψ, where ΨC1(T), it is shown that F(P(Φ')) C is a set of zero linear Hausdorff measure. Applications are given to the spectral theory of multiplication operators. [ABSTRACT FROM PUBLISHER]
Databáze: Complementary Index