[PDF] Top 20 Lipschitz estimates for commutators of singular integral operators associated with the sections

... linear commutators are naturally appearing operators in harmonic analysis that have been extensively studied ...of commutators in harmonic analysis can be used to characterize some important func- ... See full document

... the operators and their commu- tators generated by BMO and Lipschitz functions are obtained (see [, ...the commutators generated by the singular integral operators with general ... See full document

... multiplier operators onto a class of convolution ...of operators for n = . The strongly singular non-convolution operator, whose properties are similar to those of the classical Calderón-Zygmund ... See full document

... variation operators for the commutators generated by Calderón-Zygmund singular integrals with Lipschitz functions in the weighted Lebesgue spaces and the endpoint spaces in dimension ... See full document

... In recent years, harmonic analysis on spaces with nondoubling measures has become a very active research topic. There has been significant progress in the study of boundedness for singular integrals on these ... See full document

... of operators have been studied by many authors on probability, ergodic theory, and harmonic analysis; see ...weighted estimates of the oscillation and variation operators for the commutators ... 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 ... 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 ... See full document

... the commutators generated by the singular integral operators and the weighted BMO and Lipschitz functions on L p (R n ) ( < p < ∞) spaces is obtained (also see ...some ... See full document

... multilinear operators associated to the fractional singular integral oper- ators and the weighted Lipschitz ...multilinear operators associated to the Calderón-Zygmund ... See full document

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

... invariant singular integral operators, they also appear in the characterization of multiplier on Hardy spaces and in the regularity theory for elliptic and parabolic equations in divergence form; see ... 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

... fractional integral operators and commuta- tors, generated by multilinear fractional integrals, with an RBMO(μ) function on non- homogeneous metric measure spaces, are bounded in Lebesgue ... See full document

... fractional integral opera- tor, and the classical Calderón-Zygmund singular integral operator on these weighted ...of commutators generated by clas- sical Calderón-Zygmund operators and ... See full document

... Operators of the type (1.2) have been studied quite extensively (see [1-13] and therein numerous references). We refer the readers to see Stein-Wainger’s report [14, 15] for more background information. In 1996, ... See full document

... of integral operators ...Marcinkiewicz operators etc.) and commutators were also bounded in weighted Morrey ...tilinear operators were bounded on weighted Morrey spaces with the symbol ... See full document

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

... nonlinear singular integral operators [, ], a family of nonlinear m-singular integral operators [], Fejer-Type singular integrals [], moment type operators ... See full document

... CBMO estimates for multilinear Hardy ...for commutators and multilinear singular ...of commutators on Herz-type ...rough singular integral operators on the homogeneous ... See full document