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
Regularity for eigenfunctions of Schr\"odinger operators [PDF]
, 2002 We prove a regularity result in weighted Sobolev spaces (or Babuska--Kondratiev spaces) for the eigenfunctions of a Schr\"odinger operator. More precisely, let K_{a}^{m}(\mathbb{R}^{3N}) be the weighted Sobolev space obtained by blowing up the set of ...
Ammann, Bernd +2 more
core +10 more sources
Weighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm
Abstract and Applied Analysis, 2021 In this paper, weighted norm inequalities for multilinear Fourier multipliers satisfying Sobolev regularity with mixed norm are discussed. Our result can be understood as a generalization of the result by Fujita and Tomita by using the Lr-based Sobolev ...
Mai Fujita
doaj +1 more source
Lp Smoothness on Weighted Besov–Triebel–Lizorkin Spaces in terms of Sharp Maximal Functions
Journal of Mathematics, 2021 It is known, in harmonic analysis theory, that maximal operators measure local smoothness of Lp functions. These operators are used to study many important problems of function theory such as the embedding theorems of Sobolev type and description of ...
Ferit Gürbüz, Ahmed Loulit
doaj +1 more source
Generalized Weighted Sobolev Spaces and Applications to Sobolev Orthogonal Polynomials I [PDF]
Acta Applicandae Mathematica, 2002 In this paper we present a definition of Sobolev spaces with respect to general measures, prove some useful technical results, some of them generalizations of classical results with Lebesgue measure and find general conditions under which these spaces are complete. These results have important consequences in approximation theory.
Rodríguez, José M. +3 more
openaire +4 more sources
Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications [PDF]
, 2018 We propose a new variational model in weighted Sobolev spaces with non-standard weights and applications to image processing. We show that these weights are, in general, not of Muckenhoupt type and therefore the classical analysis tools may not apply ...
Antil, Harbir, Rautenberg, Carlos N.
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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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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
core +4 more sources
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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