Note on extreme points in Marcinkiewicz function spaces.
Kamińska, Anna, Parrish, Anca M. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Kamińska, Anna, Parrish, Anca M. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Gary Lieberman (1996)
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Petr Gurka, Bohumir Opic (2005)
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We prove sharp embeddings of Besov spaces B with the classical smoothness σ and a logarithmic smoothness α into Lorentz-Zygmund spaces. Our results extend those with α = 0, which have been proved by D. E. Edmunds and H. Triebel. On page 88 of their paper (Math. Nachr. 207 (1999), 79-92) they have written: ?Nevertheless a direct proof, avoiding the machinery of function spaces, would be desirable.? In our paper we give such a proof even in a more general context. We cover...
Giorgobiani, G. (2000)
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Jabbarzadeh, M.R. (2010)
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Edmond Granirer (1994)
Colloquium Mathematicae
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Let be the left convolution operators on with support included in F and denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that , and are as big as they can be, namely have as a quotient, where the ergodic space W contains, and at times is very big relative to . Other subspaces of are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.
Jan Kowalski (1994)
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