New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory

2008/12/14 by Andrei K. Lerner, Sheldy Ombrosi, Carlos Pérez +3 · 28 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Differential Equations and Boundary Problems

paper · doi:10.1016/j.aim.2008.10.014

Citations

• On the existence of certain singular integrals
• Multilinear Calderón–Zygmund Theory
• On commutators of singular integrals and bilinear singular integrals
• Hp spaces of several variables
• Some Maximal Inequalities

Cited by

• Sharp maximal function estimates for linear and multilinear pseudo-differential operators
• Bilinear spherical maximal functions of product type
• Improving bounds for singular operators via Sharp Reverse Hölder Inequality for A_∞
• Long-term regularity of 3D gravity water waves
• Sharp Maximal function estimates for Multilinear pseudo-differential operators of type (0,0)
• Extrapolation for bilinear compact operators in the variable exponent setting
• Weighted inequalities for multilinear potential operators and its\n commutators
• The Helicoidal Method
• The necessity theory for commutators of multilinear singular integral operators: the weighted case
• On the Hörmander classes of bilinear pseudodifferential operators II
• Extrapolation in the scale of generalized reverse Hölder weights
• Exponential decay estimates for Singular Integral operators
• A B_p condition for the strong maximal function
• Weak and strong type estimates for the multilinear Littlewood-Paley operators
• Characterization of CMO via compactness of the commutators of bilinear fractional integral operators
• On General multilinear square function with non-smooth kernels
• Recent results on matrix weighted norm inequalities
• A T(1)-Theorem in relation to a semigroup of operators and applications\n to new paraproducts
• Limiting weak-type behavior for rough bilinear operators
• Weighted vector-valued bounds for a class of multilinear singular integral operators
• Bilinear integral operator on Morrey-Banach spaces and its application
• Weighted estimates for the multilinear maximal function on the upper half-spaces
• The existence and boundedness of multilinear Marcinkiewicz integrals on Companato spaces
• Weighted multilinear Poincare inequalities for vector fields of Hormander type
• Two-weight Norm Estimates for Multilinear Fractional Integrals in\n Classical Lebesgue Spaces
• Compactness of commutators of bilinear maximal Calderón-Zygmund singular integral operators
• Weighted norm inequalities for multilinear Calderón-Zygmund operators in generalized Morrey spaces. [europepmc]
• Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels. [europepmc]