Boundedness for multilinear Littlewood-Paley operators on Hardy and Herz-Hardy spaces.
A sharp estimate for bilinear Littlewood-Paley operator.
Se establece una estimación fina para el operador bilineal de Littlewood-Paley. Como aplicación se obtienen desigualdades para la norma ponderada y estimaciones del tipo L log L para el operador bilineal.
Endpoint estimates for multilinear commutator of Marcinkiewicz operator.
Lipschitz estimates for multilinear commutator of Littlewood-Paley operator.
Weighted boundedness of Toeplitz type operators related to singular integral operators with non-smooth kernel
Some weighted sharp maximal function inequalities for the Toeplitz type operator are established, where are a fixed singular integral operator with non-smooth kernel or ±I (the identity operator), are linear operators defined on the space of locally integrable functions, k = 1,..., m, and . The weighted boundedness of on Morrey spaces is obtained by using sharp maximal function inequalities.
Sharp Function Inequalities and Boundness for Toeplitz Type Operator Related to General Fractional Singular Integral Operator
Boundedness for commutators of Littlewood-Paley operators on some Hardy spaces.
Boundedness for multilinear Marcinkiewicz operators on certain Hardy spaces.
The continuity of multilinear singular integral operators with variable Calderón-Zygmund kernel on Hardy and Herz spaces.
Boundedness for multilinear singular integral operators on Morrey spaces.
Continuity of multilinear operators on Triebel-Lizorkin spaces.
Continuity for multilinear Marcinkiewicz operators on certain Hardy spaces.
Some sharp weighted estimates for multilinear operators.
Some Hardy spaces estimates for multilinear Littlewood-Paley -operators.
Continuity of multilinear operators in weighted Herz spaces with extreme exponents.
Boundedness of multilinear operators on Triebel-Lizorkin spaces.
Weighted endpoint estimates for multilinear Littlewood-Paley operators.
Weighted boundedness of multilinear Littlewood-Paley operators for the extreme cases of .
Continuity for some multilinear operators of integral operators on Triebel-Lizorkin spaces.
Sharp and weighted inequalities for multilinear integral operators.
In this paper, we prove some weighted inequalities for the multilinear operators related to certain integral operators on the generalized Morrey spaces by using the sharp estimates of the multilinear operators. The operators include Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.
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