Strict singularity of a Volterra-type integral operator on $H^p$
نویسندگان
چکیده
منابع مشابه
A type of Volterra operator
For p ≥ 1, taking the p-th root of this sup yields a norm and with this norm H(D) is a Banach space. When p = 2, this is Hilbert space and identifying the Taylor coefficients of such an f with a sequence we obtain an isometry from H(D) onto the classical sequence space l. In addition, there is a natural identification of functions in H(D) with functions in a closed subspace of L(T) by way of th...
متن کاملA Tauberian Problem for a Volterra Integral Operator
The following question is studied: For which (nonintegrable) kernels A does lim,.^ / Óv4(/ — s)x(s) ds = 0 imply that lim,^^ x(f) — 0 when x is bounded and satisfies a Tauberian condition.
متن کاملSome properties of a general integral operator
In this paper, we consider a general integral operator $G_n(z).$ The main object of the present paper is to study some properties of this integral operator on the classes $mathcal{S}^{*}(alpha),$ $mathcal{K}(alpha),$ $mathcal{M}(beta),$ $mathcal{N}(beta)$ and $mathcal{KD}(mu,beta).$
متن کاملNumerical solution of a type of weakly singular nonlinear Volterra integral equation by Tau Method
In this paper, a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{beta}(t-s)^{-alpha}G(y(s))$ based on the Tau method. In this method, a transformation of the independent variable is first introduced in order to obtain a new equation with smoother solution. Error analysis of this method is also ...
متن کاملStrict fixed points of '{C}iri'{c}-generalized weak quasicontractive multi-valued mappings of integral type
Many authors such as Amini-Harandi, Rezapour et al., Kadelburg et al., have tried to find at least one fixed point for quasi-contractions when $alphain[frac{1}{2}, 1)$ but no clear answer exists right now and many of them either have failed or changed to a lighter version. In this paper, we introduce some new strict fixed point results in the set of multi-valued '{C}iri'{c}-gener...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2016
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/13180