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  1. Science in China Series A: Mathematics
  2. Science in China Series A: Mathematics : Volume 50
  3. Science in China Series A: Mathematics : Volume 50, Issue 7, July 2007
  4. Lipschitz classes on local fields
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Science in China Series A: Mathematics : Volume 60
Science in China Series A: Mathematics : Volume 59
Science in China Series A: Mathematics : Volume 58
Science in China Series A: Mathematics : Volume 57
Science in China Series A: Mathematics : Volume 56
Science in China Series A: Mathematics : Volume 55
Science in China Series A: Mathematics : Volume 54
Science in China Series A: Mathematics : Volume 53
Science in China Series A: Mathematics : Volume 52
Science in China Series A: Mathematics : Volume 51
Science in China Series A: Mathematics : Volume 50
Science in China Series A: Mathematics : Volume 50, Issue 12, December 2007
Science in China Series A: Mathematics : Volume 50, Issue 11, November 2007
Science in China Series A: Mathematics : Volume 50, Issue 10, October 2007
Science in China Series A: Mathematics : Volume 50, Issue 9, September 2007
Science in China Series A: Mathematics : Volume 50, Issue 8, August 2007
Science in China Series A: Mathematics : Volume 50, Issue 7, July 2007
On the use of simplex methods in constructing quadratic models
On the limit cycles of a quintic planar vector field
Affine bracket algebra theory and algorithms and their applications in mechanical theorem proving
A note on Weil index
A fiducial argument for generalized p-value
Uniqueness and stability in an inverse problem for a Poisson’s equation
Existence, uniqueness, and global attractivity of positive solutions and MLE of the parameters to the logistic equation with random perturbation
On the inner radius of univalency by pre-Schwarzian derivative
Compactness of composition operators on BMOA and VMOA
Lipschitz classes on local fields
Biorthogonal multiple wavelets generated by vector refinement equation
Solid codes and the uniform density of fd-domains
Decompositions of the 3-uniform hypergraphs K v (3) into hypergraphs of a certain type
The spectrum of path factorization of bipartite multigraphs
The construction of infinite families of any k-tight optimal and singular k-tight optimal directed double loop networks
Science in China Series A: Mathematics : Volume 50, Issue 6, June 2007
Science in China Series A: Mathematics : Volume 50, Issue 5, April 2007
Science in China Series A: Mathematics : Volume 50, Issue 4, April 2007
Science in China Series A: Mathematics : Volume 50, Issue 3, March 2007
Science in China Series A: Mathematics : Volume 50, Issue 2, February 2007
Science in China Series A: Mathematics : Volume 50, Issue 1, January 2007
Science in China Series A: Mathematics : Volume 49
Science in China Series A: Mathematics : Volume 48
Science in China Series A: Mathematics : Volume 47
Science in China Series A: Mathematics : Volume 46
Science in China Series A: Mathematics : Volume 45
Science in China Series A: Mathematics : Volume 44
Science in China Series A: Mathematics : Volume 43
Science in China Series A: Mathematics : Volume 42
Science in China Series A: Mathematics : Volume 41
Science in China Series A: Mathematics : Volume 40

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Lipschitz classes on local fields

Content Provider SpringerLink
Author Su, Wei yi Chen, Guo xiang
Copyright Year 2007
Abstract The Lipschitz class Lipα on a local field K is defined in this note, and the equivalent relationship between the Lipschitz class Lipα and the Holder type space C $^{α}$ (K) is proved. Then, those important characteristics on the Euclidean space R $^{n}$ and the local field K are compared, so that one may interpret the essential differences between the analyses on R $^{n}$ and K. Finally, the Cantor type fractal function ϑ(x) is showed in the Lipschitz class Lip (m, K), m < ln 2 / ln 3.
Starting Page 1005
Ending Page 1014
Page Count 10
File Format PDF
ISSN 10069283
Journal Science in China Series A: Mathematics
Volume Number 50
Issue Number 7
e-ISSN 18622763
Language English
Publisher Science in China Press
Publisher Date 2007-01-01
Publisher Place Beijing
Access Restriction Subscribed
Subject Keyword local field Holder type space Lipschitz class Cantor type fractal function $p$-adic theory, local fields Topological linear spaces of test functions, distributions and ultradistributions Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups Fractals Hausdorff and packing measures Applications of Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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