Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms (Q714070)

scientific article; zbMATH DE number 6096053

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English	Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms	scientific article; zbMATH DE number 6096053

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instance of

scholarly article

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title

Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms (English)

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Journal of Mathematical Analysis and Applications

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publication date

19 October 2012

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zbMATH Keywords

fractional Laplacian

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Gagliardo-Nirenberg inequality

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Sobolev inequality

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logarithmic Sobolev inequality

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Hardy inequality

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jmaa.2012.06.054

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cites work

Q3104370

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Well-posedness and regularity of generalized Navier-Stokes equations in some critical \(Q\)-spaces

0 references

Generalized Navier-Stokes equations with initial data in local \(Q\)-type spaces

0 references

Riesz transforms on \(Q\)-type spaces with application to quasi-geostrophic equation

0 references

Well-posedness of the Cauchy problem for the fractional power dissipative equations

0 references

The generalized incompressible Navier-Stokes equations in Besov spaces

0 references

Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces

0 references

Well-posedness for fractional Navier-Stokes equations in the largest critical spaces \(\dot B_{\infty ,\infty}^{ -(2\beta - 1)} (\mathbb R^n)\)

0 references

Strichartz type estimates for fractional heat equations

0 references

Well-posedness for fractional Navier-Stokes equations in critical spaces \(\dot B _{\infty, \infty}^{-(2\beta-1)}(\mathbb R^n)\)

0 references

Global well-posedness for nonlocal fractional Keller-Segel systems in critical Besov spaces

0 references

Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

0 references

Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)

0 references

Sharp Sobolev type inequalities for higher fractional derivatives

0 references

Best constants for Sobolev inequalities for higher order fractional derivatives

0 references

Generalizations of logarithmic Sobolev inequalities

0 references

Q3630858

0 references

On logarithmic Sobolev inequalities for higher order fractional derivatives

0 references

Logarithmic Sobolev Inequalities

0 references

The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality.

0 references

Q5459685

0 references

On Sharp Sobolev Embedding and The Logarithmic Sobolev Inequality

0 references

An Extension Problem Related to the Fractional Laplacian

0 references

A sharp Sobolev trace inequality for the fractional-order derivatives

0 references

Logarithmic Sobolev trace inequality

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Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms

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Nonlinear ground state representations and sharp Hardy inequalities

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The best constant in a fractional Hardy inequality

0 references

A fractional order Hardy inequality

0 references

Sharp Fractional Hardy Inequalities in Half-Spaces

0 references

Hardy inequalities for fractional integrals on general domains

0 references

On L(p,q) spaces

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Convolution operators and L(p, q) spaces

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Q5640160

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Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities

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Sharp trace inequalities for fractional Laplacians

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Identifiers

zbMATH Open document ID

1254.26010

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Mathematics Subject Classification ID

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10.1016/J.JMAA.2012.06.054

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Sitelinks

Mathematics(1 entry)

mardi Publication:714070