Variable Lebesgue norm estimates for BMO functions. II

DOI10.1007/s10476-014-0304-6zbMath1313.30175OpenAlexW2144747666MaRDI QIDQ485523

Mitsuo Izuki, Yoshihiro Sawano, Yohei Tsutsui

Publication date: 9 January 2015

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_111F0000020-12-9

zbMATH Keywords

BMOBanach function spacesLebesgue norm

Mathematics Subject Classification ID

BMO-spaces (30H35)

Related Items (15)

John-Nirenberg inequalities with variable exponents on probability spaces ⋮ Positive solutions for a quasilinear elliptic problem involving sublinear and superlinear terms ⋮ Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents ⋮ Boundedness of fractional integrals on weighted Herz spaces with variable exponent ⋮ Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent ⋮ Extrapolation, John-Nirenberg inequalities and characterizations of BMO in terms of Morrey type spaces ⋮ BMO with respect to Banach function spaces ⋮ Extrapolation for weighted product Morrey spaces and some applications ⋮ Unnamed Item ⋮ Atomic characterizations of variable Hardy spaces on domains and their applications ⋮ Two weighted Herz spaces with variable exponents ⋮ Boundedness of commutators of fractional integral operators on mixed Morrey spaces ⋮ The John-Nirenberg inequality in ball Banach function spaces and application to characterization of BMO ⋮ Estimates for Littlewood-Paley operators on ball Campanato-type function spaces ⋮ Commutators of Bilinear Hardy Operators on Two Weighted Herz Spaces with Variable Exponents

Cites Work

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• Hardy spaces with variable exponents and generalized Campanato spaces
• Lebesgue and Sobolev spaces with variable exponents
• Boundedness of commutators on Herz spaces with variable exponent
• BMO for nondoubling measures
• Atomic decomposition of Hardy spaces and characterization of \(BMO\) via Banach function spaces
• \(A_{\infty}\) constants between BMO and weighted BMO
• A characterization of the Morrey-Campanato spaces
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• On functions of bounded mean oscillation
• Weighted bounded mean oscillation and the Hilbert transform
• Variable Lebesgue norm estimates for BMO functions

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