Now showing items 1-2 of 2
Multi-dimensional Hardy type inequalities in Hölder spaces
(Journal article; Tidsskriftartikkel; Peer reviewed, 2018)
Most Hardy type inequalities concern boundedness of the Hardy type operators in Lebesgue spaces. In this paper we prove some new multi-dimensional Hardy type inequalities in Hölder spaces.
Potential type operators in PDEs and their applications
(Journal article; Peer reviewed; Tidsskriftartikkel, 2017-01)
We prove the boundedness of Potential operator in weighted generalized Morrey space in terms of Matuszewska-Orlicz indices of weights and apply this result to the Hemholtz equation in ℝ<sup>3</sup> with a free term in such a space. We also give a short overview of some typical situations when Potential type operators arise when solving PDEs.