Young type inequalities for weighted spaces
Joachim Toft, Karoline Johansson, Stevan Pilipovic, Nenad Teofanov
TL;DR
This paper establishes sharp convolution and multiplication estimates in various weighted function spaces, enhancing the understanding of inequalities in these contexts and recovering some known results.
Contribution
It introduces new sharp inequalities for weighted Lebesgue, Fourier Lebesgue, and modulation spaces, extending existing results in the field.
Findings
Sharp convolution estimates in weighted spaces
Sharp multiplication estimates in weighted spaces
Recovery of some previously known results
Abstract
We establish sharp convolution and multiplication estimates in weighted Lebesgue, Fourier Lebesgue and modulation spaces. Especially we recover some known results.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Advanced Mathematical Physics Problems