On norms of composition operators on weighted hardy spaces

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 14, Issue 1

Abstract

 The computation of composition operator on Hardy spaces is very hard. In this paper we propose  a  norm of a bounded composition operator on weighted Hardy spaces H2(b) induced by a disc  automorphism by embedding  the classical Hardy space . The estimate obtained is accurate in the sense that it provides the exact norm for particular instances of the sequence b. As an application of our results, an estimate for the norm of any bounded composition operator on H2(b) is obtained.

Authors and Affiliations

Amenah Essa Shammaky, Sumitra Dalal

Keywords

Related Articles

Numerical Solutions of Sixth Order Linear and Nonlinear Boundary Value Problems

The aim of paper is to find the numerical solutions of sixth order linear and nonlinear differential equations with two point boundary conditions. The well known Galerkin method with Bernstein and modified Legendre polyn...

Regional Boundary Strategic Sensors Characterizations

This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert space where the dynamics of system is governed by strongly continuous semi-groups. More precisely, for parabolic distribut...

Stability of Fibonacci Functional Equation

In this paper, we solve the Fibonacci functional equation, f(x)=f(x-1)+f(x-2) and discuss its generalized Hyers-Ulam-Rassias stability in Banach spaces and stability in Fuzzy normed space.

Characterizations of stability of first order linear Hahn difference equations

Hahn introduced the difference operator Dq.wf(t) = f(qt + w) -f(t))/t(q -1+w) in 1949, where 0 < q < 1 and ! > 0 are fixed real numbers. This operator extends the classical difference operator  f(t) =...

Solving Some Kinds of Third Order Partial Differential Equations of Degree Four with Three Independent Variables

In this paper, we find a solution for some kinds of nonlinear third order partial differential equations of homogeneous degree with three independent variables .

Download PDF file
  • EP ID EP651783
  • DOI 10.24297/jam.v14i1.6717
  • Views 168
  • Downloads 0

How To Cite

Amenah Essa Shammaky, Sumitra Dalal (2018). On norms of composition operators on weighted hardy spaces. JOURNAL OF ADVANCES IN MATHEMATICS, 14(1), 7424-7430. https://europub.co.uk./articles/-A-651783