Toeplitz and Hankel operators with aHandy formula and Localization Principle

Mustafa, Mubarak Adam Hassan

dc.contributor.author	Mustafa, Mubarak Adam Hassan
dc.date.accessioned	2017-07-10T09:30:20Z
dc.date.available	2017-07-10T09:30:20Z
dc.date.issued	2016-12-10
dc.identifier.citation	Mustafa, Mubarak Adam Hassan . Toeplitz and Hankel operators with aHandy formula and Localization Principle / Mubarak Adam Hassan Mustafa ; Shawgy Hussein Abdalla .- Khartoum: Sudan University of Science and Technology, college of Science, 2016 .- 122p. :ill. ;28cm .- M.Sc.	en_US
dc.identifier.uri	http://repository.sustech.edu/handle/123456789/18255
dc.description	Thesis	en_US
dc.description.abstract	We give a decomposition theorem for the Sobolev space of first order on the disc. Using this result, some characterizations for algebraic properties of Toeplitz or small Hankel operators with symbols in 𝐿∞,1 are given. We consider Toeplitz and Hankel operators with piecewise continuous generating functions on 𝑙𝑝-spaces and the Banach algabra generated by them. We characterize the pairs of truncated Hankel operators on the model spaces, the asymptotic behavior of the singular values of a compact Hankel operator is determined by the behavior of the symbol in a neighbourhood of its singular support.	en_US
dc.description.sponsorship	Sudan University of Science and Technology	en_US
dc.language.iso	en	en_US
dc.publisher	Sudan University of Science and Technology	en_US
dc.subject	Mathematics	en_US
dc.subject	Localization Principle	en_US
dc.subject	Toeplitz and Hankel	en_US
dc.subject	operators with	en_US
dc.subject	aHandy formula	en_US
dc.title	Toeplitz and Hankel operators with aHandy formula and Localization Principle	en_US
dc.title.alternative	مؤثرات توبليتز و هانكل مع الصيغة المفيدة ومبدأ الموضعية	en_US
dc.type	Thesis	en_US
dc.contributor.Supervisor	Supervisor, - Shawgy Hussein Abdalla