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On Some Applications of a Special Integrodifferential Operators
Joint Authors
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Let C(n)(D×D¯) be a Banach space of complex-valued functions f(x,y) that are continuous on D×D¯, where D={z∈C:|z|<1} is the unit disc in the complex plane C, and have nth partial derivatives in D×D which can be extended to functions continuous on D×D¯, and let CA(n)=CA(n)(D×D) denote the subspace of functions in C(n)(D×D¯) which are analytic in D×D (i.e., CA(n)=C(n)(D×D¯)∩Hol(D×D)).
The double integration operator is defined in CA(n) by the formula Wf(z,w)=∫0z∫0wf(u,v)dv du.
By using the method of Duhamel product for the functions in two variables, we describe the commutant of the restricted operator W∣Ezw, where Ezw={f∈CA(n):f(z,w)=f(zw)} is an invariant subspace of W, and study its properties.
We also study invertibility of the elements in CA(n) with respect to the Duhamel product.
American Psychological Association (APA)
Saltan, Suna& Özel, Yasemin. 2012. On Some Applications of a Special Integrodifferential Operators. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-506113
Modern Language Association (MLA)
Saltan, Suna& Özel, Yasemin. On Some Applications of a Special Integrodifferential Operators. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-506113
American Medical Association (AMA)
Saltan, Suna& Özel, Yasemin. On Some Applications of a Special Integrodifferential Operators. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-506113
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506113