The convergence rate of truncated hypersingular integrals generated by the modified Poisson semigroup

Autor:	Melih Eryiğit, Sinem Sezer Evcan, Selim Çobanoğlu
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Truncated hypersingular integrals Flett potentials Poisson semigroup Rate of convergence Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-12 (2020)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-020-02468-9
Popis:	Abstract Hypersingular integrals have appeared as effective tools for inversion of multidimensional potential-type operators such as Riesz, Bessel, Flett, parabolic potentials, etc. They represent (at least formally) fractional powers of suitable differential operators. In this paper the family of the so-called “truncated hypersingular integral operators” D ε α f $\mathbf{D}_{\varepsilon }^{\alpha }f$ is introduced, that is generated by the modified Poisson semigroup and associated with the Flett potentials F α φ = ( E + − Δ ) − α φ ( 0 < α < ∞ $0
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e19973f0b479405ba606768d62104c5e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.