Marcinkiewicz r-classes and Fourier series expansions of operator ergodic Stieltjes convolutions

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• 作者：Earl Berkson
• 刊名：Comptes Rendus Mathematique
• 出版年：November, 2013
• 年：2013
• 卷：351
• 期：21-22
• 页码：813-815
• 全文大小：205 K

文摘

We study the Fourier series expansions in the strong operator topology for operator-valued Stieltjes convolutions of Marcinkiewicz r-classes against spectral decompositions of modulus-mean-bounded operators. The vector-valued harmonic analysis resulting can be viewed as an extension of traditional Calder贸n-Coifman-G. Weiss transference without being constrained by the latter始s requirement of power-boundedness.