A new characterization of Sobolev spaces on Rn (original) (raw)

A new characterization of Sobolev spaces on {\mathbb{R}^{n}}$$

Joan Mateu

Mathematische Annalen, 2012

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A new characterization of the Sobolev space

Piotr Hajłasz

Studia Mathematica, 2003

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Sobolev spaces revisited

Jean Van Schaftingen

Rendiconti Lincei - Matematica e Applicazioni

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Characterizations of second order Sobolev spaces

Nguyen Lam

Nonlinear Analysis: Theory, Methods & Applications, 2015

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Sobolev spaces on an arbitrary metric space

Piotr Hajłasz

1996

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Sobolev Spaces on Domains

Victor Ivanovich Burenkov

Teubner Texte zur Mathematik, 1998

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A P ] 6 S ep 2 01 8 CHARACTERIZATIONS OF ANISOTROPIC HIGH ORDER SOBOLEV SPACES

Nguyễn Chí Lâm

2018

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Littlewood–Paley characterizations of fractional Sobolev spaces via averages on balls

Feng Dai

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2018

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Sobolev spaces

Jason Clemens

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Isoperimetry and symmetrization for Sobolev spaces on metric spaces

Joaquim Martín

Comptes Rendus Mathematique, 2009

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Characterizations of anisotropic high order Sobolev spaces

Nguyen Cong Lam (FGW HCM)

Asymptotic Analysis, 2019

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Characterization of Sobolev and BV spaces

giovanni leoni

Journal of Functional Analysis, 2011

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Characterization of anisotropic high order Sobolev spaces

Nguyen Cong Lam (FGW HCM)

2018

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A regularity condition in Sobolev spaces W1,pmathrmloc(mathbbRn)W^{1,p}_{\mathrm loc}({\mathbb R}^n)W1,pmathrmloc(mathbbRn) with 1≤pltn1 ≤ p \lt n1pltn

donatella bongiorno

Illinois Journal of Mathematics, 2002

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Function Spaces of Sobolev Type on Riemannian Symmetric Manifolds

Leszek Skrzypczak

Forum Mathematicum, 1991

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Higher Order Sobolev-Type Spaces on the Real Line

Juha Kinnunen

Journal of Function Spaces, 2014

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Metric characterization of the sum of fractional Sobolev spaces

Jean Van Schaftingen

arXiv: Analysis of PDEs, 2019

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Variable Exponent Sobolev Spaces and Regularity of Domains

Daniel J . Pons

The Journal of Geometric Analysis, 2020

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Variable exponent Sobolev spaces and regularity of domains-II

Daniel J . Pons

Revista Matematica Complutense, 2023

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Sharp Sobolev type embeddings on the entire Euclidean space

Lubos Pick

Communications on Pure & Applied Analysis

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Sobolev spaces of symmetric functions and applications

Ederson Santos, Djairo Guedes De Figueiredo

Journal of Functional Analysis, 2011

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Families of functionals representing Sobolev norms

Jean Van Schaftingen

2021

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DEFINITIONS OF SOBOLEV CLASSES ON METRIC SPACES

Bruno Franchi

1998

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Some Remarks About the Density of Smooth Functions in Weighted Sobolev Spaces

Francesco Cassano

1994

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Corrigendum to “Characterization of Sobolev and BV spaces” [J. Funct. Anal. 261 (10) (2011) 2926–2958]

Daniel Spector, giovanni leoni

Journal of Functional Analysis, 2014

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Sobolev embeddings in metric measure spaces with variable dimension

Peter Hästö

Mathematische Zeitschrift, 2006

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Embeddings of Sobolev-type spaces into generalized Hölder spaces involving k$$ k -modulus of smoothness

Bohumír Opic

Annali di Matematica Pura ed Applicata, 2013

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Axiomatic theory of Sobolev spaces

Vladimir Goldshtein

Expositiones Mathematicae, 2001

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A new approach to Sobolev spaces and connections to -convergence

augusto ponce

Calculus of Variations and Partial Differential Equations, 2004

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Weighted Sobolev Spaces on Metric Measure Spaces

Gareth Speight

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A note on the Malliavin-Sobolev spaces

Thibaut Mastrolia

Statistics & Probability Letters, 2015

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