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Fourier transforms and generalized Lipschitz classes in uniform metric |
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| Authors: | SS Volosivets |
| Institution: | Saratov State University, Astrakhanskaya Str. 83, 410028 Saratov, Russian Federation |
| Abstract: | For functions f∈L1(R)∩C(R) with Fourier transforms  in L1(R) we give necessary and sufficient conditions for f to belong to the generalized Lipschitz classes Hω,m and hω,m in terms of behavior of  . |
| Keywords: | Fourier transform Generalized Lipschitz classes de la Vallé e Poussin means Schwartz derivative |
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