12 citations · 13 across the 8 of their papers we have counts for
10 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 BBM-phenomenon in fractional Poincaré-Sobolev inequalities with weights
Ritva Hurri-Syrjänen, Javier C. Martínez-Perales, Carlos Pérez +1
In this paper we unify and improve some of the results of Bourgain, Brezis and Mironescu and the weighted Poincaré-Sobolev estimate by Fabes, Kenig and Serapioni. More precisely, w…
Estimates for the variable order Riesz potential with applications
Petteri Harjulehto, Ritva Hurri-Syrjänen
We study weak-type estimates and exponential integrability for the variable order Riesz potential. As an application we prove an exponential integrability result with respect to th…
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…
Fractional Sobolev-Poincaré and fractional Hardy inequalities in unbounded John domains
Ritva Hurri-Syrjänen, Antti V. Vähäkangas
We prove fractional Sobolev-Poincaré inequalities in unbounded John domains and we characterize fractional Hardy inequalities there.
On fractional Poincaré inequalities
Ritva Hurri-Syrjänen, Antti V. Vähäkangas
We show that fractional (p,p)-Poincaré inequalities and even fractional Sobolev-Poincaré inequalities hold for bounded John domains, and especially for bounded Lipschitz domains. W…