Sharp Grand Lebesgue Spaces norm estimation for infimal convolution
M.R.Formica, E.Ostrovsky, and L.Sirota
TL;DR
This paper establishes optimal estimates for the Grand Lebesgue Space norms of multivariate infimal convolution operators, advancing the understanding of their behavior in functional analysis.
Contribution
It introduces non-improvable norm estimations for infimal convolution operators within Grand Lebesgue Spaces, a novel contribution to the field.
Findings
Derived sharp norm bounds for multivariate infimal convolution
Extended results to multidimensional operators
Provided theoretical framework for future analysis
Abstract
We derive the non-improvable Grand Lebesgue Space norm estimations for multivariate and multidimensional operator of infimal convolution.
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Taxonomy
TopicsMathematical Approximation and Integration · Approximation Theory and Sequence Spaces · Mathematical Analysis and Transform Methods