Results 11 to 20 of about 1,535 (98)
Reiteration theorems with extreme values of parameters
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Fernández-Martínez, Pedro +1 more
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H\"older estimates for parabolic operators on domains with rough boundary [PDF]
We investigate linear parabolic, second-order boundary value problems with mixed boundary conditions on rough domains. Assuming only boundedness and ellipticity on the coefficient function and very mild conditions on the geometry of the domain, including
Disser, K. +2 more
core +3 more sources
General Holmstedt’s Formulae for the K-Functional
Explicit formulae for the K-functional for the general couple ((A0,A1)Φ0,(A0,A1)Φ1), where (A0,A1) is a compatible couple of quasi-normed spaces, are proved. As a consequence, the corresponding reiteration theorems are derived.
Irshaad Ahmed +2 more
doaj +1 more source
Limits of higher-order Besov spaces and sharp reiteration theorems
The authors compute the limits of higher-order Besov norms and derive the sharp constants for certain forms of the Sobolev embedding theorem using interpolation methods. Their result extends, to higher-order spaces, the work by \textit{H. Brézis, J. Bourgain, P. Mironescu} in [Optimal control and partial differential equations.
Karadzhov, G.E., Milman, M., Xiao, J.
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On the Infinite in Mereology with Plural Quantification [PDF]
In Lewis reconstructs set theory using mereology and plural quantification (MPQ). In his recontruction he assumes from the beginning that there is an infinite plurality of atoms, whose size is equivalent to that of the set theoretical universe.
Carrara, Massimiliano, Martino, Enrico
core +1 more source
Interpolation of Ces{\`a}ro sequence and function spaces
The interpolation property of Ces{\`a}ro sequence and function spaces is investigated. It is shown that $Ces_p(I)$ is an interpolation space between $Ces_{p_0}(I)$ and $Ces_{p_1}(I)$ for $1 < p_0 < p_1 \leq \infty$ and $1/p = (1 - \theta)/p_0 + \theta ...
Astashkin, Sergey V., Maligranda, Lech
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Sharp Estimates of the Embedding Constants for Besov Spaces [PDF]
Sharp estimates are obtained for the rates of blow up of the norms of embeddings of Besov spaces in Lorentz spaces as the parameters approach critical values.Sharp estimates are obtained for the rates of blow up of the norms of embeddings of Besov spaces
Edmunds, David E. +2 more
core +2 more sources
Interpolation orbit functorsand reiteration theorems
In the paper under review, the author uses certain ideals operators to study interpolation orbit functors from couples of weighted \(\ell^p\) or \(c_0\) spaces to the class of regular finite dimensional couples. The author shows that the abstract \(J\)-method of interpolation has an orbital description which is used to study interpolation orbit ...
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Real interpolation of Sobolev spaces
We prove that $W^{1}_{p}$ is an interpolation space between $W^{1}_{p_{1}}$ and $W^{1}_{p_{2}}$ for $p>q_{0}$ and $1\leq p_{1}
Badr, Nadine
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Characterization of interpolation between Grand, small or classical Lebesgue spaces
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are so called Lorentz-Zygmund spaces or more generally $G\Gamma$-spaces. As a direct consequence of our results any Lorentz-Zygmund space $L^{a,r}({\rm Log}\,
Fiorenza, Aberto +4 more
core +1 more source

