Results 111 to 120 of about 259 (139)
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On Sharp Sobolev Embedding and The Logarithmic Sobolev Inequality
Bulletin of the London Mathematical Society, 1998Geometric asymptotics of the sharp Sobolev embedding constant are used to derive the logarithmic Sobolev inequality. A new proof characterizing the extremals is given using the entropic form of the Hausdorff-Young inequality.
Beckner, William, Pearson, Michael
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Degenerate Sobolev inequalities from the classical Sobolev inequality
Analysis and Mathematical PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dal, Feyza Elif +3 more
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HEISENBERG'S INEQUALITY IN SOBOLEV SPACES
Acta Mathematica Scientia, 2000The inequality that is known as Heisenberg's uncertainty principle is extended to Sobolev spaces by using Weyl symbols, pseudodifferential operators and parametrized Fourier transforms. The result is supposed to be applicable to those problems in quantum mechanics which cannot be adequately modelled by the Hilbert space formalism.
Qi, Minyou, Tian, Guji
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Sobolev inequalities on homogeneous spaces
Potential Analysis, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BIROLI, MARCO, MOSCO U.
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Hardy-Sobolev Inequalities in a Cone
Journal of Mathematical Sciences, 2006Summary: The attainability of the exact constant in the Hardy--Sobolev inequality is established in an arbitrary cone in \(\mathbb R^n\).
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Sobolev anisotropic inequalities with monomial weights
Journal of Mathematical Analysis and Applications, 2022Filomena Feo, Joaquim Martin
exaly
Asymmetric affine Lp Sobolev inequalities
Journal of Functional Analysis, 2009Franz Schuster, Christoph Haberl
exaly
Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities
Journal of Functional Analysis, 1999Friedrich Götze
exaly

