Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지

THE MAXIMAL OPERATOR OF BOCHNER-RIESZ MEANS FOR RADIAL FUNCTIONS

  • Hong. Sung-Geum (SCHOOL OF MATHEMATICAL SCIENCES, SEOUL NATIONAL UNIVERSITY)
  • Published : 2001.02.01
Download PDF
⟨ Previous Next ⟩

Abstract

Author proves weak type estimates of the maximal function associated with the Bochner-Riesz means while it is claimed p=2n/(n+1+$2\delta) and 0<\delta\leq(n-1)/2$ that the maximal function is bounded on L^p-{rad}$.

Keywords

References

  1. J. Funct. Anal. v.55 The multiplier for the ball and radial functions S.Chanillo
  2. Trans. Amer. Math. Soc. v.294 Weak type estimates for Bochner-Riesz spherical summation multipliers Chanillo;Muckenhoupt
  3. Mem. Amer. Math. Soc v.102 no.487 Weak type estimates for Cesaro sums of Jacobi polynomial series
  4. Ann. of Math. v.94 The multiplier problem for the ball C.Fefferman
  5. Proc. Nat. Acad. Sci. U.S.A. v.40 On the mean inversion Fourier Hankel transforms C.Herz
  6. Ann. Sci. kanazawa Univ. v.25 convergence almost everywhere of Bochner-Riesz means for radial functions Y.Kanjin
  7. Proc. Amer. Math. Soc. v.103 convergence and divergence almost everywhere of spherical means for radial functions
  8. Proc. Amer. Math. Soc. v.78 The weak behavior of spherical means C.Kenig;P.Tomas
  9. Introduction to Fourier Analysis on Euclidean Spaces E.M.Stein;G.Weiss