On the inclusion of classes of functions, being integrable with a weight on the interval and satisfying conditions of Lipschitz type

S.V. Goncharov (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0002-8071-8746

Abstract


We obtain generalization of Hardy and Littlewood inclusion theorem for some classes of functions being integrable with a weight on $$$[-1;1]$$$.

Keywords


integral metric; Lipschitz condition; weight function

References


Hardy G.H., Littlewood J.E. "A convergence criterion for Fourier series", Math. Zeitschr., 1928; 28: pp. 122-147.

Il'in V.P. "On one theorem of G.H. Hardy and J.E. Littlewood", Trudy MIAN SSSR, 1959; 53: pp. 128-144. (in Russian)




DOI: https://dx.doi.org/10.15421/241404

  

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Copyright (c) 2014 S.V. Goncharov

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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