Generalized fractional integrals in p-adic morrey and Herz spaces


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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.

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S. Volosivets

Faculty of Mechanics and Mathematics

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Email: volosivetsss@mail.ru
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