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Spectral gap for measure-valued diffusion processes

Journal of mathematical analysis and applications, 2020-03, Vol.483 (2), p.123624, Article 123624

2020

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On Choquet integrals and Poincaré-Sobolev inequalities

Journal of functional analysis, 2023-05, Vol.284 (9), p.109862, Article 109862

2023

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Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces

Nonlinear analysis, 2022-03, Vol.216, p.112697, Article 112697

2022

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A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces

Nonlinear analysis, 2024-04, Vol.241, p.113467, Article 113467

2024

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Functional inequalities for convolution probability measures

Annales de l'I.H.P. Probabilités et statistiques, 2016-05, Vol.52 (2)

2016

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Characterization of Fractional Sobolev–Poincaré and (Localized) Hardy Inequalities

The Journal of geometric analysis, 2023-07, Vol.33 (7), Article 223

Sk, Firoj

2023

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Poincaré and Logarithmic Sobolev Inequalities for Nearly Radial Measures

Acta mathematica Sinica. English series, 2022-08, Vol.38 (8), p.1377-1398

2022

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Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces

Journal of the Mathematical Society of Japan, 2015, Vol.67 (4), p.1485-1549

2015

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Super Poincaré inequality for a dynamic model of the two-parameter Dirichlet process

Statistics & probability letters, 2019-08, Vol.151, p.97-105

Zhang, Weiwei

2019

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Hypocoercivity and sub-exponential local equilibria

Monatshefte für Mathematik, 2021-01, Vol.194 (1), p.41-65

2021

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The sharp Poincaré–Sobolev type inequalities in the hyperbolic spaces Hn

Journal of mathematical analysis and applications, 2018-06, Vol.462 (2), p.1570-1584

Nguyen, Van Hoang

2018

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The sharp Sobolev type inequalities in the Lorentz–Sobolev spaces in the hyperbolic spaces

Journal of mathematical analysis and applications, 2020-10, Vol.490 (1), p.124197, Article 124197

Nguyen, Van Hoang

2020

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Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications

Electronic journal of differential equations, 2019-07, Vol.2019 (89), p.1-15

2019

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Weighted Hardy and Rellich type inequalities on Riemannian manifolds

Mathematische Nachrichten, 2016-06, Vol.289 (8-9), p.994-1004

2016

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On higher order Poincaré inequalities with radial derivatives and Hardy improvements on the hyperbolic space

Annali di matematica pura ed applicata, 2021-12, Vol.200 (6), p.2333-2360

Roychowdhury, Prasun

2021

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Functional inequalities and subordination: stability of Nash and Poincaré inequalities

Mathematische Zeitschrift, 2012-12, Vol.272 (3-4), p.921-936

2012

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Poincaré-Sobolev inequalities with rearrangement-invariant norms on the entire space

Mathematische Zeitschrift, 2021-08, Vol.298 (3-4), p.1623-1640

Mihula, Zdeněk

2021

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On some strong Poincaré inequalities on Riemannian models and their improvements

Journal of mathematical analysis and applications, 2020-10, Vol.490 (1), p.124213, Article 124213

2020

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Prime ends for domains in metric spaces

Advances in mathematics (New York. 1965), 2013-05, Vol.238, p.459-505

2013

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Improved Lp-Poincaré inequalities on the hyperbolic space

Nonlinear analysis, 2017-07, Vol.157, p.146-166

2017

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The sharp higher-order Lorentz–Poincaré and Lorentz–Sobolev inequalities in the hyperbolic spaces

Annali di matematica pura ed applicata, 2021, Vol.200 (5), p.2133-2153, Article 2133

Nguyen, Van Hoang

2021

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Inverse problem for a degenerate/singular parabolic system with Neumann boundary conditions

Journal of inverse and ill-posed problems, 2021-12, Vol.29 (6), p.791-821

2021

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Poincaré inequalities and hitting times

Annales de l'I.H.P. Probabilités et statistiques, 2013-02, Vol.49 (1)

2013

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Sharp Poincaré–Hardy and Poincaré–Rellich inequalities on the hyperbolic space

Journal of functional analysis, 2017-02, Vol.272 (4), p.1661-1703

2017

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Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions

ESAIM. Control, optimisation and calculus of variations, 2016-01, Vol.22 (1), p.112-133

2016

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Spectral gap for measure-valued diffusion processes

On Choquet integrals and Poincaré-Sobolev inequalities

Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces

A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces

Functional inequalities for convolution probability measures

Characterization of Fractional Sobolev–Poincaré and (Localized) Hardy Inequalities

Poincaré and Logarithmic Sobolev Inequalities for Nearly Radial Measures

Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces

Super Poincaré inequality for a dynamic model of the two-parameter Dirichlet process

Hypocoercivity and sub-exponential local equilibria

The sharp Poincaré–Sobolev type inequalities in the hyperbolic spaces Hn

The sharp Sobolev type inequalities in the Lorentz–Sobolev spaces in the hyperbolic spaces

Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications

Weighted Hardy and Rellich type inequalities on Riemannian manifolds

On higher order Poincaré inequalities with radial derivatives and Hardy improvements on the hyperbolic space

Functional inequalities and subordination: stability of Nash and Poincaré inequalities

Poincaré-Sobolev inequalities with rearrangement-invariant norms on the entire space

On some strong Poincaré inequalities on Riemannian models and their improvements

Prime ends for domains in metric spaces

Improved Lp-Poincaré inequalities on the hyperbolic space

The sharp higher-order Lorentz–Poincaré and Lorentz–Sobolev inequalities in the hyperbolic spaces

Inverse problem for a degenerate/singular parabolic system with Neumann boundary conditions

Poincaré inequalities and hitting times

Sharp Poincaré–Hardy and Poincaré–Rellich inequalities on the hyperbolic space

Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions

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