A characterization of subspaces of
J. Holub (1972)
Studia Mathematica
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J. Holub (1972)
Studia Mathematica
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C. Piñeiro (1996)
Collectanea Mathematica
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Matos, Mário C. (1988)
Portugaliae mathematica
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Y. Dupain, Vera Sós (1980)
Acta Arithmetica
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Mario O. González (1973)
Collectanea 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.
A. Pliś (1955)
Annales Polonici Mathematici
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Seán Dineen (1971)
Studia Mathematica
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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.