[PDF] Top 20 On the boundedness of maximal operators and singular operators with kernels in

... At this point, it is worth mentioning that the proof of Theorem 1.3 cannot be obtained by a simple application of existing arguments on singular integrals. Even though we have a more restrictive condition on h, if ... See full document

... multilinear singular integral operators with generalized ker- nels were given by Lin and Xiao in ...sharp maximal estimates of the multilinear singular integral opera- tors and their ... See full document

... multilinear operators. In [–], the boundedness of a singular integral operator with non-smooth kernel is ...the boundedness of the commutator associated to the singular integral ... See full document

... the boundedness for several integral operators on the Triebel–Lizorkin spaces and Besov ...for singular integrals, [7–13] for Marcinkiewicz integrals, [14] for the Littlewood–Paley functions, [15–18] ... See full document

... are the non-trivial generalizations of the commutator. It is well known that commutators are of great interest in harmonic analysis and have been widely studied by many authors (see [, ]). The main purpose of this ... See full document

... integral operators in the studied function spaces. For instance, the boundedness of Fourier multiplier operators plays a crucial role in the theory of linear PDE’s, especially in the study of ... See full document

... the boundedness of some classical operators, such as the Hardy-Littlewood maximal op- erator, singular integrals and commutators, has been proved on these spaces; see [–] and the ... 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

... It is well known that commutators are of great interest in harmonic analysis, and they have been widely studied by many authors (see [, ]). In [], Pérez and Trujillo-Gonzalez prove a sharp estimate for the commutator. ... See full document

... Calderón-Zygmund singular integral operator satisfies the con- ditions of Definition  (see [, ]) and that the commutator [b, T ](f ) = bT(f ) – T (bf ) is a particular operator of the multilinear operator T b if ... See full document

... Recall that the local Morrey-type spaces LMpθ,w were introduced and the boundedness in these spaces of the fractional integral operators and singular integral operators defined on homogen[r] ... See full document

... multilinear operators are of great interest in harmonic analysis and have been widely studied by many authors (see ...sharp maximal inequalities for the multilinear operator T b ... 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 as the ... See full document

... the boundedness of the strongly singular integral operator is ...strongly singular integral operator is obtained. In [], the boundedness of the strongly sin- gular integral operators ... See full document

... Hardy-Littlewood maximal operator, the singular integral operator, the frac- tional integral operator and the commutator of these operators in Morrey spaces have been studied by many authors; see ... See full document

... the boundedness of some Sch ¨odinger type operators on generalized Morrey spaces related to certain nonnegative potentials belonging to the reverse H ¨older ...the boundedness of various ... See full document

... the boundedness properties of the commutators for the extreme values of p are ...of singular integral operators with non-smooth kernels and prove the weighted boundedness properties of ... 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

... η-subdifferential operators, maximal η-monotone operators, generalized monotone operators (named H-monotone operators), A-monotone opera- tors, (H ,η)-monotone operators in ... See full document

... but is close to 1, for the classical Marcinkiewicz integrals was extended by many authors to various kernels, for example, 1–4. On the other hand, because of connecting with the problems about the partial ... See full document