Small time heat kernel behavior on Riemannian complexes.
Sobolev and isoperimetric inequalities for degenerate metrics.
Sobolev embeddings with variable exponent
Sobolev inequalities for probability measures on the real line
We give a characterization of those probability measures on the real line which satisfy certain Sobolev inequalities. Our starting point is a simpler approach to the Bobkov-Götze characterization of measures satisfying a logarithmic Sobolev inequality. As an application of the criterion we present a soft proof of the Latała-Oleszkiewicz inequality for exponential measures, and describe the measures on the line which have the same property. New concentration inequalities for product measures follow....
Sobolev inequalities in 2-D hyperbolic space: A borderline case.
Sobolev-type spaces from generalized Poincaré inequalities
We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.
Solution of one conjecture on inequalities with power-exponential functions.
Some analytical properties of solutions of differential equations of noninteger order.
Some applications of the Briot-Bouquet differential subordination.
Some aspects of convex functions and their applications.
Some Boas-Bellman type inequalities in 2-inner product spaces.
Some bounding inequalities for the Jacobi and related functions.
Some classes of completely monotonic functions.
Some classical operators on Lorentz space.
Some companions of an Ostrowski type inequality and applications.
Some companions of the Grüss inequality in inner product spaces.
Some complements of Cauchy's inequality on time scales.
Some considerations on the monotonicity property of power means.
Some counterpart inequalities for a functional associated with Jensen's inequality.
Some cyclical inequalities for the triangle.