Local means and wavelets in function spaces with local Muckenhoupt weights
The paper deals with local means and wavelet bases in function spaces of Besov and Triebel-Lizorkin type with local Muckenhoupt weights.
Local Operators Between Spaces of Ultradifferentiable Functions and Ultradistributions.
Local solution of parabolic equations with strongly increasing nonlinearity by the Rothe method
Local Toeplitz operators based on wavelets: phase space patterns for rough wavelets
We consider two standard group representations: one acting on functions by translations and dilations, the other by translations and modulations, and we study local Toeplitz operators based on them. Local Toeplitz operators are the averages of projection-valued functions , where for a fixed function ϕ, denotes the one-dimensional orthogonal projection on the function , U is a group representation and g is an element of the group. They are defined as integrals , where W is an open, relatively...
Local well-posedness for the incompressible Euler equations in the critical Besov spaces
In this paper we establish the existence and uniqueness of the local solutions to the incompressible Euler equations in , , with any given initial data belonging to the critical Besov spaces . Moreover, a blowup criterion is given in terms of the vorticity field....
Local/global uniform approximation of real-valued continuous functions
For a Tychonoff space , is the lattice-ordered group (-group) of real-valued continuous functions on , and is the sub--group of bounded functions. A property that might have is (AP) whenever is a divisible sub--group of , containing the constant function 1, and separating points from closed sets in , then any function in can be approximated uniformly over by functions which are locally in . The vector lattice version of the Stone-Weierstrass Theorem is more-or-less equivalent...
Localisation et multiplicateurs des espaces de Sobolev Homogenes.
Localisations des espaces de Besov
Localization principle for Triebel-Lizorkin spaces on spaces of homogeneous type.
The author establishes the localization principle for the Triebel-Lizorkin spaces on spaces of homogeneous type.
Localization techniques in spaces
Locally analytically pseudo-convex topological vector spaces
Locally bounded spaces of vector functions and nonlinear operators therein.
Locally constant functions
Let X be a compact Hausdorff space and M a metric space. is the set of f ∈ C(X,M) such that there is a dense set of points x ∈ X with f constant on some neighborhood of x. We describe some general classes of X for which is all of C(X,M). These include βℕ, any nowhere separable LOTS, and any X such that forcing with the open subsets of X does not add reals. In the case where M is a Banach space, we discuss the properties of as a normed linear space. We also build three first countable Eberlein...
Locally minimal sets for conformal dimension.
Locally solid topologies on spaces of vector-valued continuous functions
Let be a completely regular Hausdorff space and a real normed space. We examine the general properties of locally solid topologies on the space of all -valued continuous and bounded functions from into . The mutual relationship between locally solid topologies on and
Locally solid topologies on vector valued function spaces.
Locally solid topologies on vector valued function spaces are studied. The relationship between the solid and topological structures of such spaces is examined.
Locally uniform domains and quasiconformal mappings.
Locally uniformly non- Orlicz spaces
Logarithmic Sobolev inequalitites and the existence of singular integrals.