Pointwise Compactness and Weakly Compact Sets in L...
Pointwise convergent nets of holomorphic automorphisms of the unit ball of Cartan factors.
Polyhomogeneous Maps and Best Local Approximations of Degree ... .
Polynomial ultradistributions: differentiation and Laplace transformation
We consider the multiplicative algebra P(𝒢₊') of continuous scalar polynomials on the space 𝒢₊' of Roumieu ultradistributions on [0,∞) as well as its strong dual P'(𝒢₊'). The algebra P(𝒢₊') is densely embedded into P'(𝒢₊') and the operation of multiplication possesses a unique extension to P'(𝒢₊'), that is, P'(𝒢₊') is also an algebra. The operation of differentiation on these algebras is investigated. The polynomially extended Laplace transformation and its connections with the differentiation...
Polynomials and holomorphic functions on interpolation spaces
Positive vector measures with given marginals
Suppose is an ordered locally convex space, and Hausdorff completely regular spaces and a uniformly bounded, convex and closed subset of . For , let . Then, under some topological and order conditions on , necessary and sufficient conditions are established for the existence of an element in , having marginals and .
Précontinuité et topologie de Mackey sur un espace vectoriel topologique ; espaces prétonnelés
Preduals of spaces of vector-valued holomorphic functions
For a balanced open subset of a Fréchet space and a dual-Banach space we introduce the topology on the space of holomorphic functions from into . This topology allows us to construct a predual for which in turn allows us to investigate the topological structure of spaces of vector-valued holomorphic functions. In particular, we are able to give necessary and sufficient conditions for the equivalence and compatibility of various topologies on spaces of vector-valued holomorphic functions....
Pre-supports of linear probability measures and linear Lusin measurable functionals [Book]
Probabilités cylindriques et processus linéaires
Problems concerning weak Asplund spaces
Prodistributions
Product of dominated vector measures
Product of vector measures on topological spaces
For , let be completely regular Hausdorff spaces, quasi-complete locally convex spaces, , the completion of the their injective tensor product, the spaces of all bounded, scalar-valued continuous functions on , and -valued Baire measures on . Under certain...
Product rule and chain rule estimates for the Hajłasz gradient on doubling metric measure spaces
We use the Calderón Maximal Function to prove the Kato-Ponce Product Rule Estimate and the Christ-Weinstein Chain Rule Estimate for the Hajłasz gradient on doubling measure metric spaces.
Products of holomorphically relevant spaces
Products of vector measures by means of Fubini's theorem
Produits tensoriels topologiques multiples
Projections, extendability of operators and the Gâteaux derivative of the norm.
Projective Tensor Product of -Valued Measures