Results 11 to 20 of about 10,820 (265)
Interpolation of Gentle Spaces [PDF]
Abstract and Applied Analysis, 2014 The notion of gentle spaces, introduced by Jaffard, describes what would be an “ideal” function space to work with wavelet coefficients. It is based mainly on the separability, the existence of bases, the homogeneity, and the γ-stability.
Mourad Ben Slimane, Hnia Ben Braiek
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Interpolation of nonlinear integral Urysohn operators in net spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper, we study the interpolation properties of the net spaces Np,q(M), in the case when M is a sufficiently general arbitrary system of measurable subsets from Rn. The integral Urysohn operator is considered.
A.H. Kalidolday, E.D. Nursultanov
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The positivity of the differential operator generated by hyperbolic system of equations [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 In the present paper, the initial value problem for the hyperbolic system of equations with nonlocal boundary conditions is investigated. The positivity of the space operator generated by the given problem in interpolation spaces is established.
Rahat Prenov
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Interpolation in model spaces [PDF]
Proceedings of the American Mathematical Society, Series B, 2020 In this paper we consider interpolation in model spaces, H 2 ⊖ B H 2 H^2 \ominus B H^2 with B B a Blaschke product. We study unions of interpolating sequences for two sequences that are far from each other in the pseudohyperbolic metric as ...
Gorkin, Pamela, Wick, Brett D
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Some Reiteration Theorems for R, L, RR, RL, LR, and LL Limiting Interpolation Spaces
Journal of Function Spaces, 2021 We consider the K-interpolation methods involving slowly varying functions. We establish some reiteration formulae including so-called L or R limiting interpolation spaces as well as the RR, RL, LR, and LL extremal interpolation spaces.
Leo R. Ya. Doktorski
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Tent Space Approach of Morrey Spaces and Their Application to Duality and Complex Interpolation
Journal of Function Spaces, 2023 The aim in this paper is to establish a new duality property of Morrey spaces and to discover the complex interpolation space between Morrey spaces and Lebesgue spaces.
Takahiro Ono
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On ψ- interpolation spaces [PDF]
Mathematical Inequalities & Applications, 2009 In this paper the sequence Banach space ψ (Z) is defined for a class of convex functions ψ , and properties of the Kand Jinterpolation spaces (E0,E1)θ ,ψ,K and (E0,E1)θ ,ψ,J for a Banach couple E = (E0,E1) and θ ∈ (0,1) are studied. Mathematics subject classification (2000): 46B70.
Nikolova, L., Zachariades, T.
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Interpolation of Besov spaces [PDF]
Transactions of the American Mathematical Society, 1988 We investigate Besov spaces and their connection with dyadic spline approximation in L p ( Ω ) {L_p}(\Omega ) , 0 > p ⩽ ∞ 0 > p \leqslant \infty .
DeVore, Ronald A, Popova, Vasil A
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Interpolation of compact bilinear operators [PDF]
Bulletin of Mathematical Sciences, 2020 This paper is devoted to the study of the stability of the compactness property of bilinear operators acting on the products of interpolated Banach spaces.
Mieczysław Mastyło, Eduardo B. Silva
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Generalized Interpolation Spaces [PDF]
Transactions of the American Mathematical Society, 1971 In this paper we introduce the notion of “generalized” interpolation space, and state and prove a “generalized” interpolation theorem. This apparently provides a foundation for an axiomatic treatment of interpolation space theory, for subsequently we show that the “mean” interpolation spaces of Lions-Peetre, the “complex” interpolation spaces of A.
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