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Nevanlinna algebras

A. Haldimann, H. Jarchow (2001)

Studia Mathematica

The Nevanlinna algebras, α p , of this paper are the L p variants of classical weighted area Nevanlinna classes of analytic functions on = z ∈ ℂ: |z| < 1. They are F-algebras, neither locally bounded nor locally convex, with a rich duality structure. For s = (α+2)/p, the algebra F s of analytic functions f: → ℂ such that ( 1 - | z | ) s | f ( z ) | → 0 as |z| → 1 is the Fréchet envelope of α p . The corresponding algebra s ∞ of analytic f: → ℂ such that s u p z ∈ ( 1 - | z | ) s | f ( z ) | < ∞ is a complete metric space but fails to be a topological vector space. F s is also...

Nonlinear operators of integral type in some function spaces.

Carlo Bardaro, Gianluca Vinti, J. Musielak (1997)

Collectanea Mathematica

We give results about embeddings, approximation and convergence theorems for a class of general nonlinear operators of integral type in abstract modular function spaces. Thus we extend some previous result on the matter.

Non-natural topologies on spaces of holomorphic functions

Dietmar Vogt (2013)

Annales Polonici Mathematici

It is shown that every proper Fréchet space with weak*-separable dual admits uncountably many inequivalent Fréchet topologies. This applies, in particular, to spaces of holomorphic functions, solving in the negative a problem of Jarnicki and Pflug. For this case an example with a short self-contained proof is added.

Non-self mappings in modular spaces and common fixed point theorems

Abdolrahman Razani, Valdimir Rakočević, Zahraa Goodarzi (2010)

Open Mathematics

The aim of this paper, is to introduce the convex structure (specially, Takahashi convex structure) on modular spaces. Moreover, we are interested in proving some common fixed point theorems for non-self mappings in modular space.

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