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math.CA2014
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…
math.CA2012
Examples of fractals satisfying the quasihyperbolic boundary condition
Petteri Harjulehto, Riku Klén
In this paper we give explicit examples of bounded domains that satisfy the quasihyperbolic boundary condition and calculate the values for the constants. These domains are also Jo…