A new approach to weighted Sobolev spaces [PDF]
Monatshefte für MathematikAbstract We present in this paper a new way to define weighted Sobolev spaces when the weight functions are arbitrary small. This new approach can replace the old one consisting in modifying the domain by removing the set of points where at least one of the weight functions is very small.
Kebiche D.
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Marine Anoxia and Ocean Acidification During the End‐Permian Extinction
Geophysical Monograph Series, Page 325-340., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Ying Cui +4 more
wiley +5 more sources
Weighted Sobolev spaces: Markov-type inequalities and duality
Bulletin of Mathematical Sciences, 2017 Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. The aim of this paper is to prove several important properties of weighted Sobolev spaces: separability, reflexivity, uniform convexity, duality and Markov-type ...
Francisco Marcellán +2 more
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Littlewood-Paley equivalence and homogeneous Fourier multipliers [PDF]
, 2016 We consider certain Littlewood-Paley operators and prove characterization of some function spaces in terms of those operators. When treating weighted Lebesgue spaces, a generalization to weighted spaces will be made for H\"ormander's theorem on the ...
Sato, Shuichi
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Geometric ergodicity in a weighted Sobolev space [PDF]
The Annals of Probability, 2020 For a discrete-time Markov chain $\{X(t)\}$ evolving on $\Re^\ell$ with transition kernel $P$, natural, general conditions are developed under which the following are established: 1. The transition kernel $P$ has a purely discrete spectrum, when viewed as a linear operator on a weighted Sobolev space $L_\infty^{v,1}$ of functions with norm, $$ \|f\|_{v,
Devraj, Adithya +2 more
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Weighted Sobolev Spaces on Curves
Journal of Approximation Theory, 2002 45 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10. MR#: MR1934626 (2003j:46038) Zbl#: Zbl 1019.46026 In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete for non-closed compact curves. We also prove the density of the polynomials in these spaces and, finally,
Alvarez, Venancio +3 more
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Interpolation of weighted Sobolev spaces [PDF]
Journal of Functional Analysis, 2019 In this work we present a newly developed study of the interpolation of weighted Sobolev spaces by the complex method. We show that in some cases, one can obtain an analogue of the famous Stein-Weiss theorem for weighted $L^{p}$ spaces. We consider an example which gives some indication that this may not be possible in all cases.
Michael Cwikel, Amit Einav
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Современная математика: Фундаментальные направления, 2022 In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm.
M. U. Yakhshiboyev
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A density property for fractional weighted Sobolev spaces [PDF]
, 2015 In this paper we show a density property for fractional weighted Sobolev spaces. That is, we prove that any function in a fractional weighted Sobolev space can be approximated by a smooth function with compact support. The additional difficulty in this
Dipierro, Serena, Valdinoci, Enrico
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Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces [PDF]
Mathematica Bohemica, 2022 In the present paper, we prove the existence and uniqueness of weak solution to a class of nonlinear degenerate elliptic $p$-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the ...
Abdelali Sabri +2 more
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