Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces

Tom 127 / 2012

Aydin Sh. Shukurov Colloquium Mathematicum 127 (2012), 105-109 MSC: Primary 34L10, 46B15; Secondary 46E30. DOI: 10.4064/cm127-1-7

Streszczenie

A necessary condition for Kostyuchenko type systems and system of powers to be a basis in $L_p$ $(1 \leq p < + \infty )$ spaces is obtained. In particular, we find a necessary condition for a Kostyuchenko system to be a basis in $L_p$ $(1 \leq p < + \infty )$.

Autorzy

  • Aydin Sh. ShukurovInstitute of Mathematics and Mechanics
    NAS of Azerbaijan
    Az1141, F. Agayev 9
    Baku, Azerbaijan
    and
    Baku State University
    Baku, Azerbaijan
    e-mail

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