Results 21 to 30 of about 10,820 (265)

Interpolation Hilbert Spaces Between Sobolev Spaces [PDF]

open access: yesResults in Mathematics, 2014
We explicitly describe all Hilbert function spaces that are interpolation spaces with respect to a given couple of Sobolev inner product spaces considered over $\mathbb{R}^{n}$ or a half-space in $\mathbb{R}^{n}$ or a bounded Euclidean domain with Lipschitz boundary.
Mikhailets, Vladimir A.   +1 more
openaire   +3 more sources

Reiteration Formulae for the Real Interpolation Method Including L or R Limiting Spaces

open access: yesJournal of Function Spaces, 2020
We consider a real interpolation method defined by means of slowly varying functions. We present some reiteration formulae including so-called L or R limiting interpolation spaces.
Leo R. Ya. Doktorski
doaj   +1 more source

New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem

open access: yesBoundary Value Problems, 2021
We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Hölder regularity of solutions of classical abstract Cauchy problem (ACP).
Md Mansur Alam   +2 more
doaj   +1 more source

Interpolation theorem for Nikol’skii-Besov type spaceswith mixed metric

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In this paper we study the interpolation properties of Nikol’skii-Besov spaces with a dominant mixed derivative and mixed metric with respect to anisotropic and complex interpolation methods.
K.A. Bekmaganbetov   +2 more
doaj   +1 more source

The problem of trigonometric Fourier series multipliers of classes in λp,q spaces

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In this article, we consider weighted spaces of numerical sequences λp,q, which are defined as sets of sequences a = {ak}∞k=1, for which the norm ||a||λp,q := (∞Σk=1|ak|qkq/p −1)1/q < ∞ is finite. In the case of non-increasing sequences, the norm of the
A. Bakhyt, N.T. Tleukhanova
doaj   +1 more source

New classes of rearrangement-invariant spaces appearing in extreme cases of weak interpolation

open access: yesJournal of Function Spaces and Applications, 2006
We study weak type interpolation for ultrasymmetric spaces L?,E i.e., having the norm ??(t)f*(t)?E˜, where ?(t) is any quasiconcave function and E˜ is arbitrary rearrangement-invariant space with respect to the measure dt/t. When spaces L?,E are not “too
Evgeniy Pustylnik, Teresa Signes
doaj   +1 more source

Interpolation of Marcinkiewicz spaces.

open access: yesMATHEMATICA SCANDINAVICA, 1985
For each non-negative concave function \(\phi\) (t), the Marcinkiewicz space \(M_{\phi}\) consists of all measurable functions f such that \((\phi (t))^{-1}\int^{t}_{0}f^*(s)ds\leq C\) for all \(t>0\) and some constant C. Interpolation spaces with respect to couples \((M_{\phi_ 0},M_{\phi_ 1})\) of such spaces are considered.
Cwikel, Michael, Nilsson, Per
openaire   +3 more sources

Interpolation between weighted Hardy spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1992
We prove that H p ( w 0 1 − s w 1 s ) {H^p}(w_0^{1 - s}w_1^s) is an interpolation space of exponent s s between
Cwikel, Michael   +2 more
openaire   +2 more sources

Enhancing Indoor Air Quality Estimation: A Spatially Aware Interpolation Scheme

open access: yesISPRS International Journal of Geo-Information, 2023
The comprehensive and accurate assessment of the indoor air quality (IAQ) in large spaces, such as offices or multipurpose facilities, is essential for IAQ management.
Seungwoog Jung, Seungwan Han, Hoon Choi
doaj   +1 more source

A Theory for Interpolation of Metric Spaces

open access: yesAxioms
In this work, we develop an interpolation theory for metric spaces inspired by the real method of interpolation. These interpolation spaces preserve Lipschitz operators under certain conditions.
Robledo Mak’s Miranda Sette   +2 more
doaj   +1 more source

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