Email this article Generalized fractional integrals in p-adic morrey and Herz spaces
- Authors: Volosivets S.S.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 9, No 1 (2017)
- Pages: 53-61
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/200724
- DOI: https://doi.org/10.1134/S2070046617010058
- ID: 200724
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Abstract
For Riesz potential Iβ(f) on p-adic linear space Qpn and its modification \(\widetilde{I^\beta }(f)\) we give sufficient conditions of their boundedness from radialMorrey space to anotherMorrey or Campanato space. Also we study the boundedness of modified Riesz potential \(\widetilde{I^\beta }(f)\) from Herz space to special Campanato spaces.
About the authors
S. S. Volosivets
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: volosivetsss@mail.ru
Russian Federation, Astrakhanskaya Str. 83, Saratov, 410012
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