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math.CA2018
Sharp resolvent estimates outside of the uniform boundedness range
Yehyun Kwon, Sanghyuk Lee
In this paper we are concerned with resolvent estimates for the Laplacian in Euclidean spaces. Uniform resolvent estimates for were shown by Kenig, Ruiz and Sogge \cite{KRS…
math.CA2017
Sharp - estimates for the spherical harmonic projection
Yehyun Kwon, Sanghyuk Lee
We consider - estimates for the spherical harmonic projection operators and obtain sharp bounds on a certain range of , . As an application, we provide a proof of o…