Some geometric properties related to fixed point theory in Cesàro spaces.
Yunan Cui, Henryk Hudzik (1999)
Collectanea Mathematica
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Displaying similar documents to “Duality and reflexivity in grand Lebesgue spaces.”
Some geometric properties related to fixed point theory in Cesàro spaces.
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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.
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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...
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