Conditioning Analysis of Nonlocal Integral Operators in Fractional Sobolev Spaces

SIAM Journal on Numerical Analysis ◽

10.1137/13092407x ◽

2014 ◽

Vol 52 (2) ◽

pp. 653-677 ◽

Author(s):

Burak Aksoylu ◽

Zuhal Unlu

Keyword(s):

Sobolev Spaces ◽

Integral Operators ◽

Fractional Sobolev Spaces ◽

Conditioning Analysis

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Composition in fractional Sobolev spaces

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2001.7.241 ◽

2001 ◽

Vol 7 (2) ◽

pp. 241-246 ◽

Author(s):

Haim Brezis ◽

◽

Petru Mironescu ◽

Keyword(s):

Sobolev Spaces ◽

Fractional Sobolev Spaces

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Generalized Gagliardo–Nirenberg inequalities using Lorentz spaces, BMO, Hölder spaces and fractional Sobolev spaces

Nonlinear Analysis ◽

10.1016/j.na.2018.04.001 ◽

2018 ◽

Vol 173 ◽

pp. 146-153 ◽

Author(s):

Nguyen Anh Dao ◽

Jesus Ildefonso Díaz ◽

Quoc-Hung Nguyen

Keyword(s):

Sobolev Spaces ◽

Lorentz Spaces ◽

Fractional Sobolev Spaces ◽

Hölder Spaces ◽

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A distributional approach to fractional Sobolev spaces and fractional variation: Existence of blow-up

Journal of Functional Analysis ◽

10.1016/j.jfa.2019.03.011 ◽

2019 ◽

Vol 277 (10) ◽

pp. 3373-3435 ◽

Author(s):

Giovanni E. Comi ◽

Giorgio Stefani

Keyword(s):

Sobolev Spaces ◽

Blow Up ◽

Fractional Sobolev Spaces

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The sharp affine L2 Sobolev trace inequality and affine energy in the fractional Sobolev spaces

Advances in Applied Mathematics ◽

10.1016/j.aam.2020.102039 ◽

2020 ◽

Vol 118 ◽

pp. 102039

Author(s):

Van Hoang Nguyen

Keyword(s):

Sobolev Spaces ◽

Fractional Sobolev Spaces ◽

Trace Inequality

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Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces Wm,p (Ω)

Science China Mathematics ◽

10.1007/s11425-019-1720-1 ◽

2020 ◽

Author(s):

Lijing Zhao ◽

Weihua Deng ◽

Jan S. Hesthaven

Keyword(s):

Sobolev Spaces ◽

Fractional Integral ◽

Integral Operators ◽

Fractional Integral Operators

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A density result for fractional Sobolev spaces

Variational Methods for Nonlocal Fractional Problems ◽

10.1017/cbo9781316282397.004 ◽

2016 ◽

pp. 43-62

Author(s):

Giovanni Molica Bisci ◽

Vicentiu D. Radulescu ◽

Raffaella Servadei

Keyword(s):

Sobolev Spaces ◽

Fractional Sobolev Spaces ◽

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The conditional law of the Bacry–Muzy and Riemann–Liouville log correlated Gaussian fields and their GMC, via Gaussian Hilbert and fractional Sobolev spaces

Statistics & Probability Letters ◽

10.1016/j.spl.2020.108732 ◽

2020 ◽

Vol 161 ◽

pp. 108732

Author(s):

Martin Forde ◽

Benjamin Smith

Keyword(s):

Sobolev Spaces ◽

Gaussian Fields ◽

Fractional Sobolev Spaces

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Rough singular integral operators on Hardy-Sobolev spaces

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-005-0030-8 ◽

2005 ◽

Vol 20 (1) ◽

pp. 1-9 ◽

Author(s):

Daning Chen ◽

Jiecheng Chen ◽

Dashan Fan

Keyword(s):

Singular Integral ◽

Sobolev Spaces ◽

Integral Operators ◽

Singular Integral Operators

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Asymptotically optimal approximation in fractional Sobolev spaces and the numerical solution of differential equations

Numerische Mathematik ◽

10.1007/bf01436722 ◽

1974 ◽

Vol 22 (2) ◽

pp. 75-87 ◽

Author(s):

C. A. Micchelli ◽

W. L. Miranker

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Sobolev Spaces ◽

Optimal Approximation ◽

Fractional Sobolev Spaces ◽

Asymptotically Optimal

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Local maximal operators on fractional Sobolev spaces

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/06831357 ◽

2016 ◽

Vol 68 (3) ◽

pp. 1357-1368 ◽

Author(s):

Hannes LUIRO ◽

Antti V. VÄHÄKANGAS

Keyword(s):

Sobolev Spaces ◽

Maximal Operators ◽

Fractional Sobolev Spaces

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