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Displaying similar documents to “The canonical seminorm on Weak L¹”

The space Weak H¹

Robert Fefferman, Fernando Soria (1987)

Studia Mathematica

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Isomorphy classes of spaces of holomorphic functions on open polydiscs in dual power series spaces

Manfred Scheve (1991)

Studia Mathematica

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Let Λ_R(α) be a nuclear power series space of finite or infinite type with lim_{j→∞} (1/j) log α_j = 0. We consider open polydiscs D_a in Λ_R(α)'_b with finite radii and the spaces H(D_a) of all holomorphic functions on D_a under the compact-open topology. We characterize all isomorphy classes of the spaces {H(D_a) | a ∈ Λ_R(α), a > 0}. In the case of a nuclear power series space Λ₁(α) of finite type we give this characterization in terms of the invariants (Ω̅ ) and (Ω̃ ) known from...

A counterexample in operator theory

Antonio Córdoba (1993)

Publicacions Matemàtiques

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The purpose of this note is to give an explicit construction of a bounded operator T acting on the space L[0,1] such that |Tf(x)| ≤ ∫ |f(y)| dy for a.e. x ∈ [0.1], and, nevertheless, ||T|| = ∞ for every p < 2. Here || || denotes the norm associated to the Schatten-Von Neumann classes.