Estimates of Henstock-Kurzweil Poisson Integrals
Estimates of Henstock-Kurzweil Poisson Integrals
Abstract If f is a real-valued function on [−π, π] that is Henstock-Kurzweil integrable, let u r (θ) be its Poisson integral. It is shown that ∥ u r ∥ p = o (1/(1 − r )) as r → 1 and this estimate is sharp for 1 ≤ p …