Carleson-type maximal operators with variable kernels

Abstract

The author considers the L ^p boundedness for two kinds of Carleson-type maximal operators with variable kernels $\frac{{\Omega \left( {x,y'} \right)}}{{\left| y \right|^n }}$, where Ω(x, y′) ∈ L ^∞(ℝ ⁿ)×W ₂ ^s (S ⁿ⁻¹) for some s > 0.

Keywords

Carleson operators / Spherical harmonics / Sobolev spaces on sphere / Markov inequality

References

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