Lipschitz and bi-Lipschitz functions.
Lipschitz classes and Poisson integrals on stratified groups
Lipschitz continuity in Muckenhoupt 𝓐₁ weighted function spaces
We study continuity envelopes of function spaces and where the weight belongs to the Muckenhoupt class ₁. This essentially extends partial forerunners in [13, 14]. We also indicate some applications of these results.
Lipschitz estimates for multilinear commutator of pseudo-differential operators.
Lipschitz measures and vector-valued Hardy spaces.
Lipschitz spaces and M-ideals.
Littlewood-paley decomposition associated with the dunkl operators and paraproduct operators.
Littlewood-Paley theory and ϵ-families of operators
Local inequalities for plurisubharmonic functions.
Local invertibility of non-archimedean vector-valued functions
Local Mappings on spaces of differentiable functions.
Local means and wavelets in function spaces
The paper deals with local means and wavelet bases in weighted and unweighted function spaces of type and on ℝⁿ and on ⁿ.
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