Generalized fractional integrals in p-adic morrey and Herz spaces

Аннотация

For Riesz potential I^β(f) on p-adic linear space Q_pⁿ 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.