The John-Nirenberg inequality in ball Banach function spaces and application to characterization of BMO

DOI10.1186/s13660-019-2220-6zbMath1499.42095OpenAlexW2980620869WikidataQ127002427 ScholiaQ127002427MaRDI QIDQ2068051

Takahiro Noi, Yoshihiro Sawano, Mitsuo Izuki

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2220-6

zbMATH Keywords

extrapolationJohn-Nirenberg inequalityball Banach function space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Other analytical inequalities (26D20)

Related Items (17)

Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: Littlewood-Paley characterizations with applications to boundedness of Calderón-Zygmund operators ⋮ Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces ⋮ Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces ⋮ Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ Anisotropic ball Campanato-type function spaces and their applications ⋮ Nontriviality of John-Nirenberg-Campanato spaces ⋮ BMO with respect to Banach function spaces ⋮ Operators on Herz-Morrey spaces with variable exponents ⋮ New John–Nirenberg–Campanato‐type spaces related to both maximal functions and their commutators ⋮ Block decomposition for Herz spaces associated with ball Banach function spaces ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces ⋮ The Bourgain-Brezis-Mironescu formula on ball Banach function spaces ⋮ Compactness characterizations of commutators on ball Banach function spaces ⋮ BMO functions generated by \(A_X(\mathbb{R}^n)\) weights on ball Banach function spaces ⋮ Linear operators and their commutators generated by Calderón-Zygmund operators on generalized Morrey spaces associated with ball Banach function spaces ⋮ The John-Nirenberg inequality for functions of bounded mean oscillation with bounded negative part

Cites Work

• Interpolation of generalized Morrey spaces
• Sharp weighted bounds involving \(A_\infty\)
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Variable Lebesgue norm estimates for BMO functions. II
• John-Nirenberg inequalities on Lebesgue spaces with variable exponents
• Weights, extrapolation and the theory of Rubio de Francia.
• Lebesgue and Sobolev spaces with variable exponents
• Boundedness of commutators on Herz spaces with variable exponent
• Theory of Besov spaces
• Atomic decomposition of Hardy spaces and characterization of \(BMO\) via Banach function spaces
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• Factorization Theory and A P Weights
• On functions of bounded mean oscillation
• Factorization and extrapolation of weights
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Variable Lebesgue norm estimates for BMO functions
• Weighted Norm Inequalities for the Hardy Maximal Function
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