Dilation of Ritt operators on L p -spaces

Spectrum of Convolution Dilation Operators on Weighted L Spaces

R c(x)dx = 1. For any sufficiently large number K the space Lp([−K,K]) of all Lp-functions with support in the interval [−K,K] is an invariant space of Wc,α. It is known that Wc,α restricted to Lp([−K,K]) is a compact operator with eigenvalues α−k, k = 0, 1, . . . , and spectrum {α−k : k = 1, 2, . . .} ∪ {0}, which are independent of c and K. This result is better understood in the context of w...

COMPOSITION OPERATORS ON HAAGERUP L p-SPACES

Building on the ideas in [Lab] we indicate how the concept of a composition operator may be extended to the context of Haagerup L p-spaces.

COMPOSITION OPERATORS ON HAAGERUP L p-SPACES

Building on the ideas in [L1] we indicate how the concept of a composition operator may be extended to the context of Haagerup L p-spaces.

A Note on Weighted Composition Operators on L^p-Spaces

On dilation operators in Besov spaces

We consider dilation operators Tk : f → f(2·) in the framework of Besov spaces B p,q(R ) when 0 < p ≤ 1. If s > n ` 1 p − 1 ́ , Tk is a bounded linear operator from B p,q(R ) into itself and there are optimal bounds for its norm. We study the situation on the line s = n `