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New York Journal of Mathematics
Volume 28 (2022), 1099-1111

  

Sakin Demir

Variational inequalities for the differences of averages over lacunary sequences

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Published: July 27, 2022.
Keywords: Ap weight, weak type (1,1), strong type (p,p), H1 space, BMO space.
Subject [2010]: Primary 26D07, 26D15; Secondary 42B20.

Abstract
Let f be a locally integrable function defined on R and let (nk) be a lacunary sequence. We prove several variational inequalities for the differences of averages of f over (nk).

Acknowledgements

N/A


Author information

Sakin Demir:
Department of Basic Education
Faculty of Education
Agri Ibrahim Cecen University
04100, Agri, TURKEY

sakin.demir@gmail.com