Order estimates of the $L_q$-norms of generalized derivatives of the Dirichlet-type kernels with an arbitrary choice of harmonics

We obtain the exact order estimates of the norms of generalized derivatives of the Dirichlet-type kernels with an arbitrary choice of harmonics in the space $L_q,\; 2 < q < \infty$.

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Bibliographic Details
Date:2017
Main Authors: Vlasyk, H. M., Власик, Г. М.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1784
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal