publication . Article . 2017

Existence Solutions of the Complex Linear Differential Equations in QK,ω(p,q) Spaces

A. Kamal; T.I. Yassen;
Open Access English
  • Published: 01 Jun 2017 Journal: General Letters in Mathematics, volume 3, issue 1, pages 47-56 (issn: 2519-9269, eissn: 2519-9277, Copyright policy)
  • Publisher: Refaad
Abstract
In this article, we study the existence of solutions of the complex linear differential equation of the form f(n) + An−1(z)f(n−1) + ... + A1(z)f0 + A0(z)f = 0, where the coefficients A0,A1,...,An are analytic functions in the unit disc. To carry out the existence of these solutions, we obtain some conditions for the coefficients which grantee the existence of the solutions in QK,ω(p,q) spaces
Subjects
free text keywords: Linear differential equation, Carleson measure characterization, QK, ω(p, q) spaces. MSC2010 47 B 33, 46 E 15, lcsh:Mathematics, lcsh:QA1-939
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