61 research outputs found

    On some extremal problems in certain harmonic function spaces of several variables related to mixed norm spaces

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    We provide some new estimates for distances in harmonic function spaces of several variables related to mixed norm spaces.Some of them extend previously known assertions in this direction in the unit ball and upperhalfspace.Comment: 11 page

    On zeros of some analytic spaces of area Nevanlinna type in halfplane

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    We introduce two new scales of spaces of Nevanlinna type in a halfplane C+ and provide descriptions of their zero sets and based on it we present parametric representations of these classes

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

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    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

    Sharp theorems on multipliers in harmonic function spaces in higher dimension

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    Abstract is available in the PDF file
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