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math.CA2016
A parabolic Triebel-Lizorkin space estimate for the fractional Laplacian operator
Minsuk Yang
In this paper we prove a parabolic Triebel-Lizorkin space estimate for the operator given by \[T^αf(t,x) = \int_0^t \int_{{\mathbb R}^d} P^α(t-s,x-y)f(s,y) dyds,\] where the kernel…
math.CA2016
An estimate of the second moment of a sampling of the Riemann zeta function on the critical line
Sihun Jo, Minsuk Yang
We investigate the second moment of a random sampling of the Riemann zeta function on the critical line. Our main result states that if is an increasing random…