Maximal operators and B.M.O. for Banach lattices

DOI10.1017/S001309150001991XzbMath0917.42023OpenAlexW2098551282MaRDI QIDQ4221500

José Luis Torrea, José García-Cuerva, Roberto A. Macías

Publication date: 11 April 1999

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309150001991x

zbMATH Keywords

Banach latticeBMOHardy-Littlewood maximal operatorKöthe function spacecommutatorUMDmaximal fractional integral

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Fractional derivatives and integrals (26A33) Banach lattices (46B42)

Related Items (5)

Sparse domination for the lattice Hardy–Littlewood maximal operator ⋮ The Hardy-Littlewood property and maximal operators associated with the inverse Gauss measure ⋮ Hörmander functional calculus on UMD lattice valued \(L^p\) spaces under generalized Gaussian estimates ⋮ On the \(R\)-boundedness of stochastic convolution operators ⋮ Two-weight inequality for operator-valued positive dyadic operators by parallel stopping cubes

Cites Work

• Unnamed Item
• The Hardy-Littlewood property of Banach lattices
• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Extension of a result of Benedek, Calderón and Panzone
• Calderón-Zygmund theory for operator-valued kernels
• Weak-\(L^\infty\) and BMO
• Weighted inequalities for commutators of fractional and singular integrals
• Some estimates for maximal functions on Köthe functions spaces
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• Approximate Identities and H 1 (R)
• Some Maximal Inequalities

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