Estimates of $\sum __{k=1}^N k^{-s}〈kx〉^{-t}$

A. Kruse

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We show that every operator from $ℓ_{s}$ to $ℓ_{p} \otimes ̂ ℓ_{q}$ is compact when 1 ≤ p,q < s and that every operator from $ℓ_{s}$ to $ℓ_{p} \hat{\otimes ̂} ℓ_{q}$ is compact when 1/p + 1/q > 1 + 1/s.

Displaying similar documents to “Estimates of ∑ k = 1 N k - s 〈 k x 〉 - t ”

Displaying similar documents to “Estimates of $\sum_{k = 1}^{N} k^{- s} 〈 k x 〉^{- t}$ ”