We study the boundedness of -admissible potential operators and their commutators on vanishing generalized Orlicz-Morrey spaces including their weak versions. These conditions are satisfied by most of the operators in ...

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Let L = - Delta(Hn) + V be a Schrodinger operator on the Heisenberg group H-n m where the nonnegative potential V belongs to the reverse Holder class RH q , for some q(1) >= Q/2, and Q is the homogeneous dimension of H-n ...

We prove the boundedness of the Hardy-Littlewood maximal operator and their commutators with BMO-coefficients in vanishing generalized Orlicz-Morrey spaces VM Phi,phi(R-n) including weak versions of these spaces. The main ...

We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients. We show that if the right-hand side of the ...

In this paper we study the boundedness for a large class of sublinear operators T generated by Calderon-Zygmund operators on generalized weighted Morrey spaces M-p,M-phi(w) with the weight function w(x) belonging to ...

The authors study the boundedness for a large class of sublinear operator T generated by Calderon-Zygmund operator on generalized Morrey spaces M(p,phi) As an application of this result, the boundedness of the commutator ...

In this paper, we study the Riesz potential (G-Riesz potential) generated by the Gegenbauer differential operator G(lambda) = (x(2) - 1()1/2-lambda) d/dx (x(2) - 1)(lambda+1/2) d/dx, x is an element of(1, infinity), lambda ...

In the present paper, we shall give necessary and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and its commutators on generalized weighted Orlicz-Morrey spaces M-w(Phi,psi)(R-n). The ...

We prove that the fractional maximal operator M-alpha and the Riesz potential operator I-alpha, 0 < alpha < n are bounded from the modified Morrey space (L) over tilde (1,lambda) (R-n) to the weak modified Morrey space W ...