28 citations · 32 across the 8 of their papers we have counts for
9 papers
On Hausdorff content maximal operator and Riesz potential for non-measurable functions
Petteri Harjulehto, Ritva Hurri-Syrjänen
We introduce Riesz potentials for non-Lebesgue measurable functions by taking the integrals in the sense of Choquet with respect to Hausdorff content and prove boundedness results…
On Choquet integrals and Sobolev type inequalities
Petteri Harjulehto, Ritva Hurri-Syrjänen
We consider integrals in the sense of Choquet with respect to the -dimensional Hausdorff content for continuously differentiable functions defined on open, connected sets in the…
On Choquet integrals and Poincaré-Sobolev inequalities
P. Harjulehto, R. Hurri-Syrjänen
We consider integral inequalities in the sense of Choquet with respect to the Hausdorff content . In particular, if is a bounded John domain in $\mathbb{R…
Embeddings into Orlicz spaces via the modified Riesz potential
Petteri Harjulehto, Ritva Hurri-Syrjänen
We study point-wise estimates for the modified Riesz potential. We show that the point-wise estimates imply embeddings into Orlicz spaces from the L^1_p-space where the functions a…
Pointwise estimates to the modified Riesz potential
Petteri Harjulehto, Ritva Hurri-Syrjänen
We prove pointwise estimates to the modified Riesz potential. We show the boundedness of its Luxemburg norm. As an application we obtain Orlicz embedding results. We study the shar…
On capacitary strong type inequalities for Orlicz-Sobolev functions
Ritva Hurri-Syrjänen, Jani Joensuu
We prove capacitary strong type inequalities for functions belonging to Orlicz-Sobolev spaces. As an application we consider capacitary averages and their limits.