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MATHEMATICS
On the action of area integral on product domains and bounded functionals in Hardy type spaces
R. F. Shamoyan Bryansk State Technical University
Abstract:
We provide a new maximal theorem for new mixed norm Hardy type spaces and an extention of Hardy-Littlewood theorem to such type mixed norm function spaces related with Area integral on product domains, some new duality results on bounded functionals for such type mixed norm Hardy spaces in product domains will be also provided. We сonsider and discuss also many new function spaces with mixed norm.
Keywords:
Bounded linear functionals, Hardy spaces, area integral, product domains, maximal theorem, Hardy-Littlewood type theorem.
Received: 21.06.2022 Revised: 23.08.2022 Accepted: 10.10.2022
Citation:
R. F. Shamoyan, “On the action of area integral on product domains and bounded functionals in Hardy type spaces”, Adyghe Int. Sci. J., 22:3 (2022), 23–28
Linking options:
https://www.mathnet.ru/eng/aman58 https://www.mathnet.ru/eng/aman/v22/i3/p23
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