Dichotomies for ${\bf C}_0(X)$ and ${\bf C}_b(X)$ spaces

Szymon Głąb; Filip Strobin

Displaying similar documents to “Dichotomies for $𝐂_{0} (X)$ and $𝐂_{b} (X)$ spaces”

Generalizations of Hölder's inequality.

Cheung, Wing-Sum (2001)

International Journal of Mathematics and Mathematical Sciences

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Potential theory of quasiminimizers.

Kinnunen, Juha, Martio, Olli (2003)

Annales Academiae Scientiarum Fennicae. Mathematica

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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 ${\dot{B}}_{p}^{ψ, q}$ , with $1 \leq p, q < \infty$ , and Triebel-Lizorkin spaces ${\dot{F}}_{p}^{ψ, q}$ , with $1 < p, q < \infty$ , of order $ψ$ to those of order...

Properties of solutions of optimization problems for set functions.

Dorosiewicz, Slawomir (2001)

International Journal of Mathematics and Mathematical Sciences

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On the composition of the integral and derivative operators of functional order

Silvia I. Hartzstein, Beatriz E. Viviani (2003)

Commentationes Mathematicae Universitatis Carolinae

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The Integral, $I_{φ}$ , and Derivative, $D_{φ}$ , operators of order $φ$ , with $φ$ a function of positive lower type and upper type less than $1$ , were defined in [HV2] in the setting of spaces of homogeneous-type. These definitions generalize those of the fractional integral and derivative operators of order $α$ , where $φ (t) = t^{α}$ , given in [GSV]. In this work we show that the composition $T_{φ} = D_{φ} \circ I_{φ}$ is a singular integral operator. This result in addition with the results obtained in [HV2] of boundedness of $I_{φ}$ and $D_{φ}$ or the...

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

Generalizations of Hölder's inequality.

Potential theory of quasiminimizers.

Embedding c 0 in bvca ( Σ , X )

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

Properties of solutions of optimization problems for set functions.

On the composition of the integral and derivative operators of functional order

Displaying similar documents to “Dichotomies for $𝐂_{0} (X)$ and $𝐂_{b} (X)$ spaces”

Embedding $c_{0}$ in $bvca (Σ, X)$