Interpolation of Lorentz martingale spaces

DOI10.1007/s11425-012-4397-8zbMath1273.60051OpenAlexW2269028688MaRDI QIDQ1933971

Tie-Xin Guo, Yan Bo Ren

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4397-8

zbMATH Keywords

Lorentz spacereal interpolationfunction parametermartingale Hardy space

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Interpolation between normed linear spaces (46B70)

Related Items (5)

Real interpolations for martingale Hardy-Orlicz-Lorentz spaces ⋮ Real interpolation of variable martingale Hardy spaces and BMO spaces ⋮ Dual spaces and inequalities of new weak martingale Hardy spaces ⋮ Marcinkiewicz type interpolation theorems for weak Orlicz martingale spaces and application ⋮ Real interpolation with a function parameter for martingale Hardy-Lorentz and BMO spaces

Cites Work

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• Lorentz martingale spaces and interpolation
• Interpolation on weak martingale Hardy space
• Interpolation for weak Orlicz spaces with \(M_{\Delta }\) condition
• Martingale Hardy spaces and their applications in Fourier analysis
• Interpolation of classical Lorentz spaces
• On a class of interpolation spaces
• Recent developments in the theory of Lorentz spaces and weighted inequalities
• Interpolation with a parameter function.
• Interpolation restricted to decreasing functions and Lorentz spaces
• Interpolation of Quasi-Normed Spaces.

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