Displaying similar documents to “Dichotomies for 𝐂 0 ( X ) and 𝐂 b ( X ) spaces”

Embedding c 0 in bvca ( Σ , X )

Juan Carlos Ferrando, L. M. Sánchez Ruiz (2007)

Czechoslovak Mathematical Journal

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If ( Ω , Σ ) is a measurable space and X a Banach space, we provide sufficient conditions on Σ and X in order to guarantee that b v c a ( Σ , X ) , the Banach space of all X -valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of c 0 if and only if X does.

Integral and derivative operators of functional order on generalized Besov and Triebel-Lizorkin spaces in the setting of spaces of homogeneous type

Silvia I. Hartzstein, Beatriz E. Viviani (2002)

Commentationes Mathematicae Universitatis Carolinae

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In the setting of spaces of homogeneous-type, we define the Integral, I φ , and Derivative, D φ , operators of order φ , where φ is a function of positive lower type and upper type less than 1 , and show that I φ and D φ are bounded from Lipschitz spaces Λ ξ to Λ ξ φ and Λ ξ / φ respectively, with suitable restrictions on the quasi-increasing function ξ in each case. We also prove that I φ and D φ are bounded from the generalized Besov B ˙ p ψ , q , with 1 ≤ p , q < ∞ , and Triebel-Lizorkin spaces F ˙ p ψ , q , with 1 < p , q < ∞ , of order ψ to those of order...