Exact norm estimates for multivariate dilation operators between two Bilateral Weight Grand Lebesgue Spaces
classification
🧮 math.FA
keywords
dilationgrandlebesguemultivariatenormoperatoroperatorsspaces
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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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