Email this article An analog of Young’s inequality for convolutions of functions for general Morrey-type spaces
- Authors: Burenkov V.I.1, Tararykova T.V.2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- School of Mathematics
- Issue: Vol 293, No 1 (2016)
- Pages: 107-126
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173696
- DOI: https://doi.org/10.1134/S0081543816040088
- ID: 173696
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Abstract
An analog of the classical Young’s inequality for convolutions of functions is proved in the case of general global Morrey-type spaces. The form of this analog is different from Young’s inequality for convolutions in the case of Lebesgue spaces. A separate analysis is performed for the case of periodic functions.
About the authors
V. I. Burenkov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: burenkov@cardiff.ac.uk
Russian Federation, ul. Gubkina 8, Moscow, 119991
T. V. Tararykova
School of Mathematics
Email: burenkov@cardiff.ac.uk
United Kingdom, Senghennydd Road, Cardiff, Wales, CF24 4AG
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