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On boundedness for complex valued functions on the $p$-adic vector space

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Abstract

In this paper, we prove sucient conditions of bound-edness of maximal operators on thep-adic vector space. We alsoconsider weighted Hardy-Littlewod averages on the p-adic vectorspace.

참고문헌 (9)

  1. "adic spectral analysis and multiwavelet on" (2003)
  2. "adic Numbers: An Introduction" (1993)
  3. "An introduction to the theory of local zeta functions} AMS", IP Studies in AdvancedMathematics, 1994., ~
  4. "On p-adic bounded functions II" (2001)
  5. "Green functions on the $p$-adic vector space" (2005)
  6. "\it Fourier analysis on local fields}" (1975), Princeton University Press Princeton
  7. "Tables of integrals of complex valued functions of p-adic arguments" (2003)
  8. "p-Adic Analysis and Mathematical Physics" (1994)
  9. "Lp and BMO bounds of weighted Hardy-Littlewood averages" (2001)

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