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arXiv · 1503.05235

Exact norm estimates for multivariate dilation operators between two Bilateral Weight Grand Lebesgue Spaces

E. Ostrovsky·L. Sirota
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Abstract

We give in this short paper a sharp estimate for the norm of a multivariate dilation operator generated by multi-matrix (tensor) linear argument transformation (dilation operator) between two different weight Lebesgue-Riesz and Grand Lebesgue Spaces(GLS). We consider also some examples and study the compactness of these operators.

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E. Ostrovsky, L. Sirota. 2015-03-17. Exact norm estimates for multivariate dilation operators between two Bilateral Weight Grand Lebesgue Spaces. https://arxiv.org/abs/1503.05235

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