Non-Archimedean Nachbin spaces
Non-Archimedean Umbral Calculus
Non-archimedean (uniformly) continuous measures on homogeneous spaces
Nonatomic Lipschitz spaces
We abstractly characterize Lipschitz spaces in terms of having a lattice-complete unit ball and a separating family of pure normal states. We then formulate a notion of "measurable metric space" and characterize the corresponding Lipschitz spaces in terms of having a lattice complete unit ball and a separating family of normal states.
Non-attainable boundary values of H∞ functions.
Nonclassical interpolation in spaces of smooth functions
We prove that the fractional BMO space on a one-dimensional manifold is an interpolation space between C and . We also prove that is an interpolation space between C and . The proof is based on some nonclassical interpolation constructions. The results obtained cannot be transferred to spaces of functions defined on manifolds of higher dimension. The interpolation description of fractional BMO spaces is used at the end of the paper for the proof of the boundedness of commutators of the Hilbert...
Non-commutative interpolation of Sobolev-Besov and Lebesgue spaces with weights
Nonconvolution transforms with oscillating kernels that map into itself
We consider operators of the form with Ω(y,u) = K(y,u)h(y-u), where K is a Calderón-Zygmund kernel and (see (0.1) and (0.2)). We give necessary and sufficient conditions for such operators to map the Besov space (= B) into itself. In particular, all operators with , a > 0, a ≠ 1, map B into itself.
Nonexpansive maps in generalized Orlicz spaces
Nonhomogeneous initial-boundary value problems for linear parabolic systems
Nonlinear generalizations of the Banach-Stone theorem
Nonlinear Maps between Besov and Sobolev spaces
Our main result shows that for a large class of nonlinear local mappings between Besov and Sobolev space, interpolation is an exceptional low dimensional phenomenon. This extends previous results by Kumlin [13] from the case of analytic mappings to Lipschitz and Hölder continuous maps (Corollaries 1 and 2), and which go back to ideas of the late B.E.J. Dahlberg [8].
Nonlinear operator equations and boundary-value problems
Nonlinear operators of integral type in some function spaces.
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.
Nonlinear perturbations of linear non-invertible boundary value problems in function spaces of type and
Nonlinear potential theory for Sobolev spaces on Carnot groups.
Non-Linear Potentials and Approximation in the Mean by Analytic Functions.
Non-natural topologies on spaces of holomorphic functions
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-Newtonian fluids and function spaces
In this note we give an overview of recent results in the theory of electrorheological fluids and the theory of function spaces with variable exponents. Moreover, we present a detailed and self-contained exposition of shifted -functions that are used in the studies of generalized Newtonian fluids and problems with -structure.
Nonseparability of the quotient space cabv(∑,m;X)/L¹(m;X) for Banach spaces X without the Radon-Nikodym property
It is shown that if (S,∑,m) is an atomless finite measure space and X is a Banach space without the Radon-Nikodym property, then the quotient space cabv(∑,m;X)/L¹(m;X) is nonseparable.