We consider generalized Morrey spaces with a general function defining the Morrey-type
norm. We find the conditions on the pair which ensures the boundedness of the maximal …

1 Introduction Page 1 EURASIAN MATHEMATICAL JOURNAL ISSN 2077-9879 Volume 3,
Number 3 (2012), 33 – 61 GENERALIZED WEIGHTED MORREY SPACES AND HIGHER …

In this paper the authors study the boundedness for a large class of sublinear operators T_
α, α ∈ 0, n) generated by Calderón–Zygmund operators (α= 0) and generated by Riesz …

Let $ M_ {\Omega,\a} $ and $ I_ {\Omega,\a} $ be the fractional maximal and integral
operators with rough kernels, where $0<\a< n $. In this paper, we shall study the continuity …

The problem of the boundedness of the Riesz potential I α, 0< α< n, in local Morrey-type
spaces is reduced to the boundedness of the Hardy operator in weighted L p-spaces on the …

We present an extrapolation theory that allows us to obtain, from weighted Lp inequalities on
pairs of functions for p fixed and all A∞ weights, estimates for the same pairs on very …

The problem of boundedness of the Riesz potential in local Morrey-type spaces is reduced
to the problem of boundedness of the Hardy operator in weighted L p-spaces on the cone of …

У нлгж з в д ж з з з в йа ж ви ж а гд ж игжИ б м б а гд ж игжИ аг а Хгжж нЙинд зд зИ Р ж н
гд ж игж гв и гв г бгвгигв йв и гвзИ л Хгжж нЙинд зд зИ л и зи б и зК Х и б и з Ый и а зз и гв …

We prove that the anisotropic fractional maximal operator Mα, σ and the anisotropic Riesz
potential operator Iα, σ, 0< α<| σ| are bounded from the anisotropic modified Morrey space …

The purpose of this paper is to establish a sufficient and necessary condition on weight
functions which ensures the boundedness of the commutators of weighted Hardy operators …