arXiv subjects

Mehriban Omarova

Publications and source records attributed to Mehriban Omarova.

2 recordsLinked to original sources

arXiv2015

The Dirichlet problem in a class of generalized weighted spaces

We show continuity in generalized weighted Morrey spaces of sub-linear integral operators generated by some classical integral operators and commutators. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operators with discontinuous data.

math.AP↗

arXiv2014

Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces

We shall investigate the boundedness of the intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces $M^{Φ,φ}_{w}({\mathbb R}^n)$. In all the cases, the conditions for the boundedness are given in terms of Zygmund-type integral inequalities on weights $φ$ without assuming any monotonicity property of $φ(x,\cdot)$ with $x$ fixed.

math.FA↗