Some remarks on Hp,s analytic function spaces in the unit disk and related estimates | Zendy

Miloš Arsenović | Zendy; Romi F. Shamoyan | Zendy

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Some remarks on <i>H<sup>p,s</sup></i> analytic function spaces in the unit disk and related estimates

Author(s) -

Miloš Arsenović,

Romi F. Shamoyan

Publication year - 2013

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2013.17.13

Subject(s) - unit disk , lorentz transformation , mathematics , hardy space , function (biology) , analytic function , unit (ring theory) , projection (relational algebra) , action (physics) , lorentz space , pure mathematics , mathematical analysis , physics , quantum mechanics , algorithm , mathematics education , evolutionary biology , biology

We prove new projection theorems involving certain Hardy-Lorentz analytic function spaces based on Lorentz classes on the unit circle which are related to p -Carleson type measures. We also study the action of fractional derivative in related analytic spaces in the unit disk partially extending previously known assertions.

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