Add to ORKGHilbert spaces of analytic functions generated by rotationally symmetric measures on disks and annuli are studied. A domination relation between function norm and weighted sums of integral means on circles is developed. The function norm and the weighted sum take the same value for a specified class of polynomials. This class can be varied according to two parameters. Parts of the construction carry over to other Banach spaces of analytic or harmonic functions. Counterexamples illuminating properties of the complex method of interpolation appear as a byproduct
The aim of this paper is to discuss the role of hypergeometric functions in function spaces and to p...
The h-harmonics are analogous of the ordinary harmonics, they are orthogonal homogeneous polynomials...
This survey is devoted to the study of the behaviour of the Fourier sums in weighted spaces of func...
We study universal integral means spectra of certain classes of univalent functions defined on subse...
We show that an interpolating sequence for the weighted Banach space of analytic functions on the u...
Abstract. Integral means of functions and their derivatives are studied. We find a relation between ...
AbstractOptimal numerical approximation of bounded linear functionals by weighted sums in Hilbert sp...
The monograph is devoted to a systematic study of means of Hilbert space operators by a unified meth...
We introduce the analytic functions f (z) = z + k=n+1 akz k ( n ∈ N) and p(z) = z + m∑ s=1 bsj−s+1...
If 0 < p < 1 and f is an analytic function in the unit disc = fz 2 C: jzj < 1g, we set, a...
AbstractFor analytic functions f(z) and g(z) which satisfy the subordination f(z)≺g(z), J.E. Littlew...
The complex method of interpolation, going back to Calder\uf3n and Coifman et al., on the one hand, ...
We consider Banach spaces of analytic functions in the unit disc which satisfy a weighted conformal ...
summary:We first show that the Gaussian integral means of $f\colon \mathbb {C}\to \mathbb {C}$ (with...
We study pointwise and integral analogues of the Schwarz lemma for holomorphic functions on an annul...
The aim of this paper is to discuss the role of hypergeometric functions in function spaces and to p...
The h-harmonics are analogous of the ordinary harmonics, they are orthogonal homogeneous polynomials...
This survey is devoted to the study of the behaviour of the Fourier sums in weighted spaces of func...
We study universal integral means spectra of certain classes of univalent functions defined on subse...
We show that an interpolating sequence for the weighted Banach space of analytic functions on the u...
Abstract. Integral means of functions and their derivatives are studied. We find a relation between ...
AbstractOptimal numerical approximation of bounded linear functionals by weighted sums in Hilbert sp...
The monograph is devoted to a systematic study of means of Hilbert space operators by a unified meth...
We introduce the analytic functions f (z) = z + k=n+1 akz k ( n ∈ N) and p(z) = z + m∑ s=1 bsj−s+1...
If 0 < p < 1 and f is an analytic function in the unit disc = fz 2 C: jzj < 1g, we set, a...
AbstractFor analytic functions f(z) and g(z) which satisfy the subordination f(z)≺g(z), J.E. Littlew...
The complex method of interpolation, going back to Calder\uf3n and Coifman et al., on the one hand, ...
We consider Banach spaces of analytic functions in the unit disc which satisfy a weighted conformal ...
summary:We first show that the Gaussian integral means of $f\colon \mathbb {C}\to \mathbb {C}$ (with...
We study pointwise and integral analogues of the Schwarz lemma for holomorphic functions on an annul...
The aim of this paper is to discuss the role of hypergeometric functions in function spaces and to p...
The h-harmonics are analogous of the ordinary harmonics, they are orthogonal homogeneous polynomials...
This survey is devoted to the study of the behaviour of the Fourier sums in weighted spaces of func...