GROUPS OF ISOMETRIES OF HARDY-TYPE SPACES OF ANALYTIC FUNCTIONALS IN THE UNIT BALL OF THE SPACELp


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Abstract

The tensor structure of spaces Lp({ℝ }n) of summable functions of several variables is described. A scale of Hardy-type spaces of analytic functionals defined in the unit ball of the space Lp({ℝ}1) of summable functions of one variable is introduced. One-parameter groups of isometries of such spaces of analytic functionals are investigated.

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