Abstract framework for John-Nirenberg inequalities and applications to Hardy spaces

DOI10.2422/2036-2145.201003_001zbMath1266.42029arXiv1003.0591OpenAlexW2963257547MaRDI QIDQ4908802

Frédéric Bernicot, Ji Man Zhao

Publication date: 7 March 2013

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0591

zbMATH Keywords

Hardy spaceatomBMOJohn-Nirenberg inequality

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items

Algebra properties for Sobolev spaces -- applications to semilinear PDEs on manifolds ⋮ Abstract Hardy spaces ⋮ Bilinear square spectral multipliers on stratified groups ⋮ Abstract Hardy spaces with variable exponents ⋮ John-Nirenberg inequalities and weight invariant BMO spaces ⋮ A 𝑇(1)-theorem in relation to a semigroup of operators and applications to new paraproducts ⋮ Musielak–Orlicz Hardy Spaces Associated with Divergence Form Elliptic Operators Without Weight Assumptions ⋮ Self-improving properties for abstract Poincaré type inequalities