Carleson measures and vector-valued BMO martingales

DOI10.1007/S00440-008-0173-7zbMath1173.60319OpenAlexW2028243953MaRDI QIDQ842385

Yong Jiao

Publication date: 25 September 2009

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-008-0173-7

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Operator spaces and completely bounded maps (46L07)

Related Items (12)

John-Nirenberg inequalities with variable exponents on probability spaces ⋮ Operator-valued martingale transforms in rearrangement invariant spaces and applications ⋮ Hardy-Lorentz spaces for \(\mathbf{B}\)-valued martingales ⋮ Atomic decompositions of Banach lattice-valued martingales ⋮ Real interpolation between martingale Hardy and BMO spaces ⋮ Embeddings between weak Orlicz martingale spaces ⋮ BMO-Lorentz martingale spaces ⋮ Weak type inequalities for vector-valued martingales ⋮ B-valued martingale Hardy-Lorentz-Karamata spaces ⋮ The Banach space-valued BMO, Carleson's condition, and paraproducts ⋮ Weighted inequalities for the generalized maximal operator in martingale spaces ⋮ Carleson measures and the generalized Campanato spaces of vector-valued martingales

Cites Work

• Extension of a result of Benedek, Calderón and Panzone
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Martingales with values in uniformly convex spaces
• Martingale Hardy spaces and their applications in Fourier analysis
• Operator-valued martingale transforms
• Vector-valued Littlewood--Paley--Stein theory for semigroups
• Martingale Transforms
• Littlewood-Paley theory for functions with values in uniformly convex spaces
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