The Variation Operator of Differences of Averages over Lacunary Sequences Maps to

Let be a locally integrable function defined on , and be a lacunary sequence. Define and let Suppose that , , and . Then, there exists a positive constant such that for all .

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Bibliographic Details
Published inRussian mathematics Vol. 68; no. 5; pp. 20 - 26
Main Author Demir, S.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 2024
Springer Nature B.V
Subjects
Mathematics
Mathematics and Statistics
Sequences
variation operator
weighted Hardy space
weight
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Summary:Let be a locally integrable function defined on , and be a lacunary sequence. Define and let Suppose that , , and . Then, there exists a positive constant such that for all .
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X24700324