Triebel--Lizorkin space estimates for multilinear operators of sublinear operators

In this paper, we obtain the continuity for some multilinear operators related to certain non-convolution operators on the Triebel--Lizorkin space. The operators include Littlewood--Paley operator and Marcinkiewicz operator.Comment: 15 pages, no figures, no table

Sharp Function Estimates for Vector-Valued Multilinear Operator of Multiplier Operator

In this paper, we establish a sharp function estimate for the vector-valued multilinear operator of the multiplier

Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels

summary:In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces are proved. The integral operators include singular integral operator with general kernel, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator

Weighted sharp boundedness for multilinear commutators

In this paper, the sharp estimates for some multilinear commutators related to certain sublinear integral operators are obtained. The operators include the Littlewood - Paley operator and the Marcinkiewicz operator. As application, we obtain the weighted L^p (p > 1) inequalities and L log L-type estimate for the multilinear commutators.Одержано точні оцінки для деяких мультилінійних комутаторів, що пов'язані з певними субліній-ними інтегральними операторами. Ці оператори включають в себе оператор Літлвуда-Палея та оператор Марцінкевича. Як застосування, отримано зважені L^p (p > 1) нерівності та оцінку типу L log L для мультилінійних комутаторів

Continuity of multilinear operators on Triebel-Lizorkin spaces

<p/> <p>The continuity of some multilinear operators related to certain convolution operators on the Triebel-Lizorkin space is obtained. The operators include Littlewood-Paley operator and Marcinkiewicz operator.</p

Sharp and weighted inequalities for multilinear integral operators

En este trabajo demostramos algunas desigualdades ponderadas para operadores multilineales relacionados con ciertos operadores integrales en los espacios generalizados de Morrey usando estimaciones ajustadas de los operadores multilineales. Los operadores incluyen los operadores de Littlewood-Paley, de Marcinkiewicz y de Bochner-Riesz