Marcinkiewicz spaces, Garsia-Rodemich spaces and the scale of John-Nirenberg self improving inequalities

DOI10.5186/AASFM.2016.4129zbMath1335.42024arXiv1508.05057OpenAlexW4240654164MaRDI QIDQ2790835

Mario Milman

Publication date: 8 March 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05057

zbMATH Keywords

rearrangementMarcinkiewicz spacesJohn-Nirenberg inequalityGarsia-Rodemich spaces\(\text{BMO}\) space

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) Function spaces arising in harmonic analysis (42B35)

Related Items (15)

Nontrivial examples of \(JN_p\) and \(VJN_p\) functions ⋮ Duality of Lipschitz classes on compact metric spaces ⋮ A bridge connecting Lebesgue and Morrey spaces via Riesz norms ⋮ Garsia–Rodemich spaces: Local maximal functions and interpolation ⋮ Sparse Brudnyi and John-Nirenberg spaces ⋮ The space \(JN_{p}\): nontriviality and duality ⋮ John-Nirenberg-Campanato spaces ⋮ Orlicz spaces with a \(o\)-\(O\) type structure ⋮ Garsia-Rodemich spaces: Bourgain-Brezis-Mironescu space, embeddings and rearrangement-invariant spaces ⋮ Boundedness of Calderón-Zygmund operators on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes ⋮ Duality and distance formulas in Banach function spaces ⋮ Special John-Nirenberg-Campanato spaces via congruent cubes ⋮ Vanishing John-Nirenberg spaces ⋮ Estimates for Littlewood-Paley operators on ball Campanato-type function spaces ⋮ Boundedness of fractional integrals on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes

Cites Work

• A new look at the John-Nirenberg and John-Strömberg theorems for BMO
• Weak-\(L^\infty\) and BMO
• Monotonicity of certain functionals under rearrangement
• On some properties of generalized Marcinkiewicz spaces
• John–Nirenberg lemmas for a doubling measure
• On functions of bounded mean oscillation
• Interpolation of Marcinkiewicz spaces.
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