Sharp estimates for martingale transforms with unbounded transforming sequences

Gałązka, Tomasz; Oşekowski, Adam

doi:10.1214/23-ejp953

Electron. J. Probab.

2023

DOI: 10.1214/23-ejp953

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Sharp estimates for martingale transforms with unbounded transforming sequences

Tomasz Gałązka

Adam Oşekowski

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2024

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Cited by 2 publications

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Mixed Lp$L^p$ estimates for transforms of noncommutative martingales

Osękowski

2024

Bulletin of London Math Soc

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Let . The paper is devoted to the study of estimates for transforms of noncommutative martingales, under the assumption that the transforming sequence takes values in , . This goes beyond the usual context of and studied so far in the literature. The obtained constants are of optimal order at the endpoints, in addition the approach allows to obtain sharp values in the range . The proof rests on real interpolation‐type arguments for martingale transforms, which are of independent interest.

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Mixed Lp$L^p$ estimates for transforms of noncommutative martingales

Osękowski

2024

Bulletin of London Math Soc

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Martingale transforms in martingale Hardy spaces with variable exponents

Ma,

Lu,

2024

MATH

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Sharp estimates for martingale transforms with unbounded transforming sequences

Cited by 2 publications

References 15 publications

Mixed Lp$L^p$ estimates for transforms of noncommutative martingales

Mixed Lp$L^p$ estimates for transforms of noncommutative martingales

Martingale transforms in martingale Hardy spaces with variable exponents

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