Results 1 to 10 of about 1,535 (98)
New limiting variants of the classical reiteration theorem for the K-interpolation method [PDF]
Journal of Inequalities and Applications, 2018 We establish some reiteration theorems for limiting K-interpolation methods, thereby obtaining new limiting variants of the classical reiteration theorem. An application to the Fourier transform is given.
Irshaad Ahmed +2 more
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Some Reiteration Theorems for R, L, RR, RL, LR, and LL Limiting Interpolation Spaces [PDF]
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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Reiteration Theorems for Two-Parameter Limiting Real Interpolation Methods [PDF]
Journal of Function Spaces, 2016 We introduce a limiting real interpolation method involving two scalar parameters. We derive Holmstedt-type estimates for this method that are applied to establish the reiteration theorems.
Irshaad Ahmed, Tuba Ejaz
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Reiteration Theorem for ${\mathcal R}$ and ${\mathcal L}$-spaces with the same parameter
Journal of Mathematical Analysis and Applications, 2021 Let $E, F, E_0, E_1$ be rearrangement invariant spaces; let $a, \mathrm{b}, \mathrm{b}_0, \mathrm{b}_1$ be slowly varying functions and $0< _0, _1<1$. We characterize the interpolation spaces $$\Big(\overline{X}^{\mathcal R}_{ _0,\mathrm{b}_0,E_0,\mathrm{a},F}, \overline{X}^{\mathcal L}_{ _1,\mathrm{b}_1,E_1,\mathrm{a},F}\Big)_{ ,\mathrm{b},
Doktorski, Leo R. Ya. +2 more
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On sharp reiteration theorems and weighted norm inequalities [PDF]
Studia Mathematica, 2000 The authors prove a sharp form of Holmsted's reiteration formula. This result was obtained using estimates for averages naturally associated with reverse Hölder inequalities. The reiteration formulae were applied to obtain results related to the classical theory of weighted norm inequalities.
Bastero, Jesús +2 more
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Positivity, 2022 AbstractGiven $$E_0, E_1, F_0, F_1, E$$ E 0 , E 1 , F 0
Pedro Fernández-Martínez +1 more
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Mediterranean Journal of Mathematics, 2022 AbstractGiven $$E_0, E_1, E, F$$ E 0 , E 1 , E , F
Pedro Fernández-Martínez +1 more
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On strict inclusion relations between approximation and interpolation spaces [PDF]
, 2011 We study strict inclusion relations between approximation and interpolation spaces.Comment: 13 pages, Submitted to a ...
Almira, J. M.
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On a recent theorem by H. Reiter [PDF]
Proceedings of the American Mathematical Society, 1966 Let G be a locally compact group with a fixed left invariant Haar measure ,. Let us consider the following three statements concerning G. (All the linear spaces appearing below are real linear spaces.) (M): There is a mean m on L,(G) such that m(f) =m(f) for each fCLoo(G) and each xEL3G.
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Reiteration and a Wolff theorem for interpolation methods defined by means of polygons [PDF]
Studia Mathematica, 1992 Summary: We prove a reiteration theorem for interpolation methods defined by means of polygons, and a Wolff theorem for the case when the polygon has 3 or 4 vertices. In particular, we establish a Wolff theorem for Fernandez' spaces, which settles a problem left over in [the first author and \textit{J. Peetre}, Stud. Math. 94, No. 3, 273-290 (1989; Zbl
Cobos, Fernando +1 more
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