Finite mean oscillation in upper regular metric spaces

2017 ◽  
Vol 38 (2) ◽  
pp. 206-212
Author(s):  
E. Afanas’eva ◽  
A. Golberg ◽  
R. Salimov
Keyword(s):  
Metric Spaces ◽  
Mean Oscillation ◽  
Finite Mean Oscillation

scholarly journals On boundary extension of one class of mappings in terms of prime ends

2020 ◽  
Vol 53 (1) ◽  
pp. 29-40
Author(s):  
E.A. Sevost'yanov ◽  
S. A. Skvortsov ◽  
I.A. Sverchevska
Keyword(s):  
Metric Spaces ◽  
Quasiconformal Mappings ◽  
Boundary Extension ◽  
Finite Distortion ◽  
Mean Oscillation ◽  
Prime Ends ◽  
Finite Mean Oscillation

Here we consider the classes of mappings of metric spaces that distort the modulus of families of paths similarly to Poletsky inequality. For domains, which are not locally connected at the boundaries, we obtain results on the boundary extension of the indicated mappings. We also investigate the local and global behaviorof mappings in the context of the equicontinuity of their families. The main statements of the article are proved under the condition that the majorant responsible for the distortion of the modulus of the families of paths has a finite mean oscillation at the corresponding points. The results are applicable to well-known classes of conformal and quasiconformal mappings as well as mappings with a finite distortion.

Finite mean oscillation and the Beltrami equation

2006 ◽  
Vol 153 (1) ◽  
pp. 247-266 ◽  
Author(s):  
Vladimir Ryazanov ◽  
Uri Srebro ◽  
Eduard Yakubov
Keyword(s):  
Beltrami Equation ◽  
Mean Oscillation ◽  
Finite Mean Oscillation

Crystallography in two-dimensional metric spaces*

1969 ◽  
Vol 130 (1-6) ◽  
pp. 277-303 ◽  
Author(s):  
Aloysio Janner ◽  
Edgar Ascher
Keyword(s):  
Metric Spaces ◽  
Two Dimensional

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

2016 ◽  
Vol 2017 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Muhammad Usman Ali ◽  
◽  
Tayyab Kamran ◽  
Mihai Postolache ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Inclusion

ON THE QUANTIFICATION OF UNIFORM PROPERTIES.PART 2

2001 ◽  
Vol 37 (1-2) ◽  
pp. 169-184
Author(s):  
B. Windels
Keyword(s):  
Metric Spaces ◽  
Uniform Spaces ◽  
Complete Metric Spaces ◽  
The Subject

In 1930 Kuratowski introduced the measure of non-compactness for complete metric spaces in order to measure the discrepancy a set may have from being compact.Since then several variants and generalizations concerning quanti .cation of topological and uniform properties have been studied.The introduction of approach uniform spaces,establishes a unifying setting which allows for a canonical quanti .cation of uniform concepts,such as completeness,which is the subject of this article.

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