1 citations · 1 across the 5 of their papers we have counts for
6 papers
A note on new mapping properties for Wolff potential
Petteri Harjulehto, Ritva Hurri-Syrjänen
We study integrability properties of the Wolff potential in context of Choquet integrals with respect to the Hausdorff content. As an application we give integrability results to t…
A note on Sobolev inequalities in the lower limit case
Petteri Harjulehto, Ritva Hurri-Syrjänen
We study Poincare-Sobolev type inequalities for compactly supported smooth functions which are defined in the Euclidean -space and whose absolute value of gradient are Choquet $…
On Choquet integrals and pointwise estimates
Petteri Harjulehto, Ritva Hurri-Syrjänen
We consider inequalities where integrals are defined in the sense of Choquet with respect to Hausdorff content. We study cases where continuously differentiable functions are defin…
On the weighted inequality between the Gagliardo and Sobolev seminorms
Ritva Hurri-Syrjänen, Javier C. Martínez-Perales, Carlos Pérez +1
We prove weighted inequalities between the Gagliardo and Sobolev seminorms and also between the Marcinkiewicz quasi-norm and the Sobolev seminorm. With weights we improve ear…
On the weighted fractional Poincare-type inequalities
Ritva Hurri-Syrjänen, Fernando López-García
Weighted fractional Poincaré-type inequalities are proved on John domains whenever the weights defined on the domain are depending on the distance to the boundary and to an arbitra…
Space Quasiconformal Mappings and Neumann Eigenvalues in Fractal Domains
V. Gol'dshtein, R. Hurri-Syrjänen, A. Ukhlov
We study the variation of the Neumann eigenvalues of the -Laplace operator under quasiconformal perturbations of space domains. This study allows to obtain lower estimates of th…