[PDF] Top 20 p adic singular integrals and their commutators in generalized Morrey spaces

... The p-adic numbers have been applied in the string theory, turbulence theory, statistical mechanics, quantum mechanics, and so forth (see [1, 9, 10] for ...on p-adic field (see [5–8] for ... See full document

... for commutators of multilinear frac- tional maximal and integral operators both on product generalized Morrey spaces and product generalized vanishing Morrey spaces, ... See full document

... Hardy spaces. Moreover, they characterized the weighted Hardy spaces by in- trinsic square ...the commutators generated with BMO functions on weighted Morrey ... 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 impor- tant role in the ... See full document

... vanishing Morrey norm and elliptic partial differential ...M: Morrey spaces and Hardy-Littlewood maximal ...MA: Commutators of fractional integral operators on vanishing-Morrey ... 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

... Calderón-Zygmund singular integral operator on these spaces, we refer the read- ers to ...classical Morrey spaces, see [–] and references therein. The generalized Morrey ... 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

... It is well known that the commutator is an important integral operator and it plays a key role in harmonic analysis. In , Calderon [, ] studied a kind of commutators, ap- pearing in Cauchy integral problems ... See full document

... strongly singular non-convolution operator, whose properties are similar to those of the classical Calderón-Zygmund operator, but the kernel is more singular near the diagonal than that of the standard one, ... See full document

... strongly singular non-convolution operator was introduced by Alvarez and Milman in [], whose properties are similar to those of the Calderón-Zygmund operator, but the ker- nel is more singular near the ... See full document

... Type Spaces and Their ...Herz spaces and regularity ...on singular integrals and power ...Herz spaces and ...Herz spaces and its ... See full document

... Zygmund singular integral operators has attracted more and more attention, which orig- inated from the work of Coifman and Meyer [], and it systematically was studied by Grafakos and Torres [, ...Zygmund ... See full document

... 2. Sawano, Y, Sugano, S, Tanaka, H: A bilinear estimate for commutators of fractional integral operators. In: Potential Theory and Its Related Fields. RIMS Kôkyûroku Bessatsu, vol. B43, pp. 155-170. Res. Inst. ... See full document

... where ω is a positive measurable function defined on (, ∞). The main purpose of [] (also of [–]) is to give some sufficient conditions for the boundedness of fractional integral operators and singular integral ... See full document

... < p < ∞, the proof of Theorem ...case p = ...the singular integral, and the endpoint case p =  of the com- mutator is not even ...case p =  of the multilinear com- mutator is ... See full document

... their weak versions. These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator, the Calderón-Zygmund singular integral operator and so on. In all ... See full document

... the commutators generated by the multilinear Calderón–Zygmud-type singular in- tegrals and Lipschitz functions with the kernel of standard estimates, Wang and Xu [16] and Mo and Lu [11] obtained the ... 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

... the commutators is stronger than that of the fractional integral, we need to assume λ(x, al) ≥ a m λ(x, l), for all x ∈ X and a, l > , in the proof of boundedness of ... See full document