\(h^1\), bmo, blo and Littlewood-Paley \(g\)-functions with non-doubling measures

DOI10.4171/RMI/577zbMath1179.42018MaRDI QIDQ734616

Dong Yong Yang, Guo'en Hu, Da Chun Yang

Publication date: 13 October 2009

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1255440069

zbMATH Keywords

Hardy spaceLittlewood-Paley \(g\)-functionmaximal functionBMOJohn-Nirenberg inequalitynon-doubling measure

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (13)

Boundedness of certain commutators over non-homogeneous metric measure spaces ⋮ End point estimate of Littlewood-Paley operator associated to the generalized Schrödinger operator ⋮ Endpoint estimates of generalized homogeneous Littlewood-Paley \(g\)-functions over non-homogeneous metric measure spaces ⋮ Boundedness of Calderón-Zygmund operators with finite non-doubling measures ⋮ Commutators of Littlewood-Paley \(g_\kappa^\ast\)-functions on non-homogeneous metric measure spaces ⋮ Boundedness of Lusin-area and functions on localized BMO spaces over doubling metric measure spaces ⋮ Boundedness of Calderón-Zygmund operators on non-homogeneous metric measure spaces: equivalent characterizations ⋮ BMO spaces associated to operators with generalised Poisson bounds on non-doubling manifolds with ends ⋮ Product of functions in BMO and \(\mathcal{H}^1\) in non-homogeneous spaces ⋮ Generalized homogeneous Littlewood-Paley \(g\)-function on some function spaces ⋮ Uniform boundedness for approximations of the identity with nondoubling measures ⋮ Localized Morrey-Campanato spaces on metric measure spaces and applications to Schrüdinger operators ⋮ Spaces of type BLO on non-homogeneous metric measure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Endpoint estimates for homogeneous Littlewood-Paley \(g\)-functions with non-doubling measures
• Painlevé's problem and analytic capacity
• Weak-\(L^\infty\) and BMO
• A local version of real Hardy spaces
• BMO for nondoubling measures
• Calderon-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderon
• Accretive system \(Tb\)-theorems on nonhomogeneous spaces.
• The fall of the doubling condition in Calderón-Zygmund theory
• Painlevé's problem and the semiadditivity of analytic capacity.
• The \(Tb\)-theorem on non-homogeneous spaces.
• Uniform boundedness for approximations of the identity with nondoubling measures
• Bilipschitz maps, analytic capacity, and the Cauchy integral
• The natural maximal operator on BMO
• The space $H^1$ for nondoubling measures in terms of a grand maximal operator
• Local hardy and BMO spaces on non-homogeneous spaces
• A Note on Exponential Integrability and Pointwise Estimates of Littlewood- Paley Functions
• Spaces of type BLO for non-doubling measures
• New atomic characterization of $\hbox{\itshape H}^{\hbox{\scriptsize 1}}$ space with non-doubling measures and its applications
• Calderón-Zygmund operators on Hardy spaces without the doubling condition
• Another Characterization of BLO
• The semiadditivity of continuous analytic capacity and the inner boundary conjecture
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
• Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures

This page was built for publication: \(h^1\), bmo, blo and Littlewood-Paley \(g\)-functions with non-doubling measures