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Existence Solutions of the Complex Linear Diﬀerential Equations in QK,ω(p,q) Spaces
25199269 (Print)
25199277 (Online)
Volume 3
Issue 1
2017

0
Existence Solutions of the Complex Linear Diﬀerential Equations in QK,ω(p,q) Spaces
47
56
English
A. Kamal Port Said University, Faculty of Science, Department of Mathematics,Port Said, Egypt 2 Current address: Qassim University, College of Sciences and Arts in Muthnib, Department of Mathematics alaa_mohamed1@yahoo.com
T.I. YassenPort Said University, Faculty of Science, Department of Mathematics,Port Said, Egypt taha_hmour@yahoo.com
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
Linear diﬀerential equation; Carleson measure characterization; QK;ω(p;q) spaces
http://www.refaad.com/views/GLM/315.html
http://www.refaad.com/Files/GLM/GLM315.pdf