Bi-parameter Littlewood-Paley operators with upper doubling measures
type: Item
instance of: scholarly article
title: Bi-parameter Littlewood-Paley operators with upper doubling measures
zbMATH Open document ID: 1388.42055
published in: Illinois Journal of Mathematics
publication date: 2018-04-25T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ijm/1520046209
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42B20
zbMATH DE Number: 6864459
zbMATH Keywords: bi-parameter Carleson condition
zbMATH Keywords: Littlewood-Paley \(g_{\lambda}^\ast\)-function
author: Ming Ming Cao
author: Qingying Xue
MaRDI profile type: Publication
cites work: Hardy spaces, regularized BMO spaces and the boundedness of Calderón-Zygmund operators on non-homogeneous spaces
cites work: Weighted bounds for multilinear square functions
cites work: A characterization of two-weight norm inequality for Littlewood-Paley \(g_\lambda^\ast\)-function
cites work: On the boundedness of biparameter Littlewood-Paley \(g_\lambda^\ast\)-function
cites work: A non-homogeneous local Tb theorem for Littlewood-Paley \(g^*_{\lambda}\)-function with \(L^{p}\)-testing condition
cites work: On multilinear Littlewood-Paley operators
cites work: A T(b) theorem with remarks on analytic capacity and the Cauchy integral
cites work: Parametrized Littlewood–Paley operators on Hardy and weak Hardy spaces
cites work: Inequalities for strongly singular convolution operators
cites work: Tb theorem on product spaces
cites work: A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
cites work: The vector-valued nonhomogeneous Tb theorem
cites work: Non-homogeneous \( T1\) theorem for bi-parameter singular integrals
cites work: On some sharp weighted norm inequalities
cites work: On some weighted norm inequalities for Littlewood-Paley operators
cites work: On sharp aperture-weighted estimates for square functions
cites work: Boundedness of a class of bi-parameter square functions in the upper half-space
cites work: Square functions with general measures
cites work: Norm Inequalities for the Littlewood-Paley Function g ∗ λ
cites work: Q4364976
cites work: Accretive system \(Tb\)-theorems on nonhomogeneous spaces.
cites work: The \(Tb\)-theorem on non-homogeneous spaces.
cites work: A $T(b)$ theorem on product spaces
cites work: On the boundedness of multilinear Littlewood-Paley \(g_\lambda^\ast\) function
cites work: On some functions of Littlewood-Paley and Zygmund
cites work: \(L^2\)-boundedness of the Cauchy integral operator for continuous measures
cites work: BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
cites work: Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures
cites work: Weighted estimates for the multilinear commutators of the Littlewood-Paley operators
cites work: On multilinear square function and its applications to multilinear Littlewood-Paley operators with non-convolution type kernels
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description: scientific article; zbMATH DE number 6864459