Abstract
AbstractIn this paper we estimate the (Lp – L2)-norm of the complex harmonic projectors πℓ,ℓ′, 1 ≤ p ≤ 2, uniformly with respect to the indexes ℓ, ℓ′. We provide sharp estimates both for the projectors πℓ,ℓ′, when ℓ, ℓ′ belong to a proper angular sector in ℕ × ℕ, and for the projectors πℓ0 and π0ℓ. The proof is based on an extension of a complex interpolation argument by C. Sogge. In the appendix, we prove in a direct way the uniform boundedness of a particular zonal kernel in the L1 norm on the unit sphere of ℝ2n.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
