On the means of Fourier integrals and Bernstein inequality in the two-weighted setting |
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| Authors: | A. Guven V. Kokilashvili |
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| Affiliation: | 1.Department of Mathematics, Faculty of Art and Science,Balikesir University,Balikesir,Turkey;2.A. Razmadze Mathematical Institute,Georgian Academy of Sciences,Tbilisi,Georgia;3.International Black Sea University,Tbilisi,Georgia |
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| Abstract: | ![]()
The norm estimation problem for Cesaro and Abel–Poisson operators acting from Lwp(mathbbR){L_{w}^{p}(mathbb{R})} to Lvq (mathbbR){L_{v}^{q} (mathbb{R})} where 1 < p ≤ q < ∞ was investigated. These results were generalized to the multidimensional case and applied to obtain generalizations of the Bernstein inequality for integral functions of finite degree of one and several variables. |
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