Contents V.1, N.1, 2010

  • ON THE BASICITY FROM EXPONENTS IN LEBESGUE SPACES WITHVARIABLE EXPONENT
    BILALOV B.T., HUSEYNOV Z.G (pp. 14-23)

    • Abstract.

    In the paper we consider the systems of exponents{expi(n−αsignn)t}n∈Z,1∪{expi(n−αsignn)t}n6=0,cosines{cos (n−α)t}n≥0(1∪{cos (n−α)t}n≥1) andsines{sin (n−α)t}n≥1. The basis properties of these systems are completely studied in thespacesLptwith variable exponentp(t).

    Keywords:

    a system of exponents, basicity, completeness, minimality, Lebesgue space withvariable exponent.

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