نتایج جستجو برای: generalised sobolev spaces

تعداد نتایج: 147750  

Journal: :Journal of Approximation Theory 2005
Leszek Skrzypczak

We investigate asymptotic behaviour of approximation numbers of Sobolev embeddings between weighted function spaces of Sobolev–Hardy–Besov type with polynomials weights. The exact estimates are proved in almost all cases. © 2005 Elsevier Inc. All rights reserved.

Journal: :Symmetry Integrability and Geometry-methods and Applications 2023

Green-hyperbolic operators - partial differential on globally hyperbolic spacetimes that (together with their formal duals) possess advanced and retarded Green play an important role in many areas of mathematical physics. Here, we study modifications by the addition a possibly nonlocal operator acting within compact subset $K$ spacetime, seek corresponding '$K$-nonlocal' generalised operators. ...

2000
Filippo Gazzola Hans-Christoph Grunau

We show that the classical Hardy inequalities with optimal constants in the Sobolev spaces W 1,p 0 and in higher-order Sobolev spaces on a bounded domain Ω ⊂ R can be refined by adding remainder terms which involve L norms. In the higher-order case further L norms with lower-order singular weights arise. The case 1 < p < 2 being more involved requires a different technique and is developed only...

2009
H. Ibrahim

In this paper, we show a parabolic version of the Ogawa type inequality in Sobolev spaces. Our inequality provides an estimate of the L∞ norm of a function in terms of its parabolic BMO norm, with the aid of the square root of the logarithmic dependency of a higher order Sobolev norm. The proof is mainly based on the Littlewood-Paley decomposition and a characterization of parabolic BMO spaces....

Journal: :J. Computational Applied Mathematics 2014
Jie Shen Li-Lian Wang Haijun Yu

This paper is concerned with approximation properties of orthonormal mapped Chebyshev functions (OMCFs) in unbounded domains. Unlike the usual mapped Chebyshev functions which are associated with weighted Sobolev spaces, the OMCFs are associated with the usual (non-weighted) Sobolev spaces. This leads to particularly simple stiffness and mass matrices for higher-dimensional problems. The approx...

Journal: :Journal of Functional Analysis 1982

Journal: :Journal d'Analyse Mathématique 2000

Journal: :Colloquium Mathematicum 1990

Journal: :Bulletin of the American Mathematical Society 1976

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