Results 41 to 50 of about 879 (86)
LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators [PDF]
, 2005 Mathematics Subject Classification: 47B38, 31B10, 42B20, 42B15.We obtain the Lp → Lq - estimates for the fractional acoustic potentials in R^n, which are known to be negative powers of the Helmholtz operator, and some related operators. Some applications
Karapetyants, Alexey +2 more
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Geometric properties of composition operators belonging to Schatten classes
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 4, Page 239-248, 2001., 2001 We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto′s conjectures and show a new compact composition operator which is not in any of ...
Yongsheng Zhu
wiley +1 more source
On the continuity in q of the family of the limit q-Durrmeyer operators
Demonstratio MathematicaThis study deals with the one-parameter family {Dq}q∈[0,1]{\left\{{D}_{q}\right\}}_{q\in \left[0,1]} of Bernstein-type operators introduced by Gupta and called the limit qq-Durrmeyer operators.
Yılmaz Övgü Gürel +2 more
doaj +1 more source
A note on bi-contractive projections on spaces of vector valued continuous functions
Concrete Operators, 2018 This paper concerns the analysis of the structure of bi-contractive projections on spaces of vector valued continuous functions and presents results that extend the characterization of bi-contractive projections given by the first author.
Botelho Fernanda, Rao T.S.S.R.K.
doaj +1 more source
(r, p)‐absolutely summing operators on the space C (T, X) and applications
Abstract and Applied Analysis, Volume 6, Issue 5, Page 309-315, 2001., 2001 We give necessary and sufficient conditions for an operator on the space C (T, X) to be (r, p)‐absolutely summing. Also we prove that the injective tensor product of an integral operator and an (r, p)‐absolutely summing operator is an (r, p)‐absolutely summing operator.
Dumitru Popa
wiley +1 more source
Generalized Hausdorff operator on Bergmann spaces
Concrete Operators, 2023 In this article, we considered the generalized Hausdorff operator ℋμ,ϕ,a{{\mathcal{ {\mathcal H} }}}_{\mu ,\phi ,a} on Bergmann space and determined the conditions on ϕ\phi and aa so that the operator is bounded.
Perumal Sasikala +1 more
doaj +1 more source
Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions [PDF]
, 2011 2010 Mathematics Subject Classification: 47B33, 47B38.Let f be an analytic self-map of the open unit disk D in the complex plane and y be an analytic map on D.
Wolf, Elke
core
Estimates for Durrmeyer-type exponential sampling series in Mellin-Orlicz spaces
Demonstratio MathematicaThis study examines Durrmeyer-type exponential sampling series to obtain a quantitative estimate by using the concept of the logarithmic modulus of smoothness defined with the help of a suitable modular functional on Mellin-Orlicz spaces.
Kangal Esma, Kantar Ülkü Dinlemez
doaj +1 more source
Boundedness, compactness and Schatten-class membership of weighted composition operators
, 2009 The boundedness and compactness of weighted composition operators on the Hardy space ${\mathcal H}^2$ of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function.
C.C. Cowen +22 more
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Journal of Inequalities and Applications, 2011 This paper characterizes the boundedness and compactness of the weighted differentiation composition operator from weighted Bergman space to nth weighted space on the unit disk of ≤.
Zhang Liang, Zeng Hong-Gang
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