Variational inequalities for the differences of averages over lacunary sequences

zbMath1506.42008arXiv2203.02154MaRDI QIDQ2169893

Sakin Demir

Publication date: 30 August 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.02154

zbMATH Keywords

BMO space\(A_p\) weight\(H^1\) spacestrong type \((p, p)\)weak type \((1, 1)\)

Mathematics Subject Classification ID

Variational inequalities (49J40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Inequalities for sums, series and integrals (26D15) Lacunary series of trigonometric and other functions; Riesz products (42A55) Inequalities involving other types of functions (26D07)

Cites Work

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• Calderón-Zygmund theory for operator-valued kernels
• Strong variational and jump inequalities in harmonic analysis
• Oscillation in ergodic theory
• Inequalities For Variation Operator
• Weighted Norm Inequalities for the Hardy Maximal Function

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