Some theorems on orthogonal functions (1)
R. Paley (1931)
Studia Mathematica
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R. Paley (1931)
Studia Mathematica
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E. Bombieri, H. Davenport (1969)
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.
Ferenc Móricz (1991)
Studia Mathematica
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A. Ziv (1962-1964)
Compositio Mathematica
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Haskell Rosenthal (1971)
Studia Mathematica
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Takafumi Murai (1981)
Annales de l'institut Fourier
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The purpose of this paper is to establish a theorem which answers a conjecture of Paley on the distribution of values of Hadamard lacunary series and which is useful to study the Peano curve property of such series.
J. Rutkowski (1988)
Acta Arithmetica
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