Groups of Isometries of Hardy-Type Spaces of Analytic Functionals in the Unit Ball of the Space~L
p |
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| Authors: | O V Lopushansky A V Zagorodnyuk |
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| Institution: | (1) Pidstrygach Institute of Applied Problems in Mechanics and Mathematics of the National Academy of Science of Ukraine, Lviv |
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| Abstract: | The tensor structure of spaces L
p
(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 L
p
(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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| Keywords: | |
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