[PDF] Top 20 Boundedness of the Maximal, Potential and Singular Operators in the Generalized Morrey Spaces

... 26 D. R. Adams, “A note on Riesz potentials,” Duke Mathematical Journal, vol. 42, no. 4, pp. 765–778, 1975. 27 G. Di Fazio and M. A. Ragusa, “Interior estimates in Morrey spaces for strong solutions to ... See full document

... the boundedness of the maximal function and Riesz potential in p-adic generalized Morrey ...the boundedness of the commutators generated by the p-adic Riesz potential and ... See full document

... the boundedness of classical integral operators such as maximal and singular operators, the Riesz potential, and others in Lebesgue spaces with variable exponent, as well ... See full document

... function spaces with variable exponents have been intensively studied; see [–] for ...such spaces is the study of PDE with non-standard growth conditions, fluid dynamics and image restoration; see ... See full document

... the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator, the Calderón-Zygmund singular integral operator and so ...the boundedness are given in terms of Zygmund-type ... See full document

... classical Morrey space was originally introduced by Morrey in [] to study the local behavior of solutions of second order elliptic partial differential ...classical Morrey spaces, one can ... See full document

... integral operators, the multilinear Calderón-Zygmund operators and the multi-sublinear maximal operators defined on the quasi-metric space with non-doubling ...the boundedness of these ... See full document

... interesting operators in harmonic analysis, such as the Calderón-Zygmund operators, Carleson maximal operators, Hardy- Littlewood maximal operators, C Fefferman singular ... See full document

... tional maximal and integral operators both on product generalized Morrey spaces and product generalized vanishing Morrey spaces, ...multilinear maximal and ... See full document

... some singular integral operators with general kernel are in- troduced, and the boundedness for the operators and their commutators generated by BMO and Lipschitz functions are obtained (see ... See full document

... classical Morrey spaces were introduced by Morrey in [] to investigate the local be- havior of solutions to second-order elliptic partial differential ...Hardy-Littlewood maximal operator, the ... See full document

... Abstract In this paper, the authors study the boundedness of multilinear Calderón-Zygmund singular integral operators and their commutators in generalized Morrey spaces.. MSC: 42B20 Keyw[r] ... See full document

... the boundedness of fractional integral operators and singular integral operators defined on homogeneous Lie groups in the local Morrey-type space LM pθ,ω ... See full document

... classical Morrey spaces were originally introduced by Morrey in [] to study the local behavior of solutions to second order elliptic partial differential ...classical Morrey spaces, we ... See full document

... We note that in [], the authors proved the sharp bounds of a weighted multilinear Hardy-Cesàro operator on the product of Lebesgue spaces and central Morrey spaces. They also proved sufficient and ... See full document

... rough singular integral operator. In recent years, a variety of operators related to the singular integrals for Calder ó n-Zygmund, but lacking the smoothness required in the classical theory, have ... See full document

... Guliyev [] (see also, [, ]) extended the results of Spanne and Adams from Mor- rey spaces to generalized Morrey spaces. Later on, Spanne type results were obtained by Guliyev et al. [] ... See full document

... The Littlewood-Paley operators are very important objects in the study of harmonic analysis. They play very important roles in harmonic analysis and PDE (see [–]), so it is natural and meaningful to consider the ... See full document

... classical Morrey spaces were introduced by Morrey [] in , have been studied intensively by various authors, and together with weighted Lebesgue spaces play an im- portant role in the ... See full document

... when singular integral operators are replaced by the fractional integral ...the boundedness for the commutators gener- ated by the singular integral operators and Lipschitz functions on ... See full document