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Lipschitz functions on classical spaces

โœ Scribed by W.T. Gowers


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
952 KB
Volume
13
Category
Article
ISSN
0195-6698

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## Lipschitz Functions on Spaces of Homogeneous Type Results on the geometric structure of spaces of homogeneous type are obtained and applied to show the equivalence of certain classes of Lipschitz functions defined on these spaces. ## I. YOTATION AND DEFINITIONS By a quasi-distance on a set X

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## Abstract The spaces $ B^s\_{pq} $(โ„^__n__^ ) and $ F^s\_{pq} $(โ„^__n__^ ) can be characterized in terms of Daubechies wavelets for all admitted parameters __s__, __p__, __q__. The paper deals with related intrinsic wavelet frames (which are almost orthogonal bases) in corresponding (subโ€)spaces

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It is shown that, for certain choices of the defining indices, the generalized LIPSCHITZ spaces on VILEWKIJ groups are incIudec1 in certain FIGA-TALAXAYCA spaces A,, and t h a t the FOURIER series of functions in the letter spaces converge uniformly. This result includes an extension of the classica

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We show that the set of semi-Lipschitz functions, defined on a quasi-metric space (X, d ), that vanish at a fixed point x 0 # X can be endowed with the structure of a quasi-normed semilinear space. This provides an appropriate setting in which to characterize both the points of best approximation an