arXiv subjects

Evgeniya Burtseva

Publications and source records attributed to Evgeniya Burtseva.

2 recordsLinked to original sources

arXiv2023

A new result on boundedness of the Riesz potential in central Morrey-Orlicz spaces

We improve our results on boundedness of the Riesz potential in the central Morrey-Orlicz spaces and the corresponding weak-type version. We also present two new properties of the central Morrey-Orlicz spaces: nontriviality and inclusion property.

math.FA↗

arXiv2021

Boundedness of the Riesz potential in central Morrey--Orlicz spaces

Boundedness of the maximal function and the Caldeón-Zygmund singular integrals in central Morrey-Orlicz spaces were proved in papers by the second and third authors. The weak-type estimates have also been proven. Here we show boundedness of the Riesz potential in central Morrey-Orlicz spaces and the corresponding weak-type version.

math.FA↗