Displaying similar documents to “Invariant Functions on Neil Parabola in Cn”

RUC systems in rearrangement invariant spaces

P. G. Dodds, E. M. Semenov, F. A. Sukochev (2002)

Studia Mathematica

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We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.

PROBLEMS

M. Chrobak, M. Habib, P. John, H. Sachs, H. Zernitz, J. R. Reay, G. Sierksma, M. M. Sysło, T. Traczyk, W. Wessel (1987)

Applicationes Mathematicae

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Completeness of the inner kth Reiffen pseudometric

Paweł Zapałowski (2002)

Annales Polonici Mathematici

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We give an example of a Zalcman-type domain in ℂ which is complete with respect to the integrated form of the (k+1)st Reiffen pseudometric, but not complete with respect to the kth one.

One Erdös style inequality

Tomáš J. Kepka, Petr C. Němec (2019)

Commentationes Mathematicae Universitatis Carolinae

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One unusual inequality is examined.

The Lvov years of Wacław Sierpiński

Andrzej Schinzel (2009)

Banach Center Publications

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An account is given of Sierpiński's activity in Lvov (1908-1918) interrupted by World War I.

Sequences of independent identically distributed functions in rearrangement invariant spaces

S. V. Astashkin, F. A. Sukochev (2008)

Banach Center Publications

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A new set of sufficient conditions under which every sequence of independent identically distributed functions from a rearrangement invariant (r.i.) space on [0,1] spans there a Hilbertian subspace are given. We apply these results to resolve open problems of N. L. Carothers and S. L. Dilworth, and of M. Sh. Braverman, concerning such sequences in concrete r.i. spaces.

Estimation of the noncentrality matrix of a noncentral Wishart distribution with unit scale matrix. A matrix generalization of Leung's domination result.

Heinz Neudecker (2004)

SORT

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The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung's but generalized to a matrix loss function. Parallelly Leung's scalar noncentral Wishart identity is generalized to become a matrix identity. The concept of Löwner partial ordering of symmetric matrices is used.