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Generalized fractional integrals in p-adic morrey and Herz spaces

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Abstract

For Riesz potential I β(f) on p-adic linear space Q n p 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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Correspondence to S. S. Volosivets.

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Volosivets, S.S. Generalized fractional integrals in p-adic morrey and Herz spaces. P-Adic Num Ultrametr Anal Appl 9, 53–61 (2017). https://doi.org/10.1134/S2070046617010058

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  • DOI: https://doi.org/10.1134/S2070046617010058

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