A Characterization of the L2 (R) Space

Sakin Demir

?brahim Çeçen University, Faculty of Education, 04100 A?r?, TURKEY.

DOI : http://dx.doi.org/10.29055/jcms/998


Let (nk) be a lacunary sequence with no non-trivial common divisor.

Define the square function

We prove that Sf characterizes the L2R space.

Mathematics Subject Classification: 26D07, 42B20.

Keywords :Square Function, L2R Space.

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