Some inequalities involving trigonometrical polynomials
E. Bombieri, H. Davenport (1969)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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E. Bombieri, H. Davenport (1969)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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R. Paley (1931)
Studia Mathematica
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Ferenc Móricz (1991)
Studia Mathematica
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Z. Ciesielski (1966)
Studia Mathematica
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Ferenc Móricz (1989)
Studia Mathematica
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Rajendra Sinha (1976)
Studia Mathematica
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M. Djedour (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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G. Sampson (1993)
Studia Mathematica
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We consider operators of the form with Ω(y,u) = K(y,u)h(y-u), where K is a Calderón-Zygmund kernel and (see (0.1) and (0.2)). We give necessary and sufficient conditions for such operators to map the Besov space (= B) into itself. In particular, all operators with , a > 0, a ≠ 1, map B into itself.
Jun Tateoka (1994)
Studia Mathematica
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C. Watari [12] obtained a simple characterization of Lipschitz classes on the dyadic group using the -modulus of continuity and the best approximation by Walsh polynomials. Onneweer and Weiyi [4] characterized homogeneous Besov spaces on locally compact Vilenkin groups, but there are still some gaps to be filled up. Our purpose is to give the characterization of Besov spaces by oscillations, atoms and others on the dyadic groups. As applications, we show a strong capacity inequality...
D. Przeworska-Rolewicz (1970)
Studia Mathematica
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