Closed range integral operators on Hardy, BMOA and Besov spaces

On the Hardy-type Integral Operators in Banach Function Spaces

Characterization of the mapping properties such as boundedness, compactness, measure of non-compactness and estimates of the approximation numbers of Hardy-type integral operators in Banach function spaces are given.

Commutators of integral operators with variable kernels on Hardy spaces

Abstract. Let TΩ,α (0 ≤ α < n) be the singular and fractional integrals with variable kernel Ω(x,z), and [b,TΩ,α ] be the commutator generated by TΩ,α and a Lipschitz function b. In this paper, the authors study the boundedness of [b,TΩ,α ] on the Hardy spaces, under some assumptions such as the Lr-Dini condition. Similar results and the weak type estimates at the end-point cases are also given...

Spatial Numerical Range of Operators on Weighted Hardy Spaces

Weighted Composition Operators and Integral-Type Operators between Weighted Hardy Spaces on the Unit Ball

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 `