Some properties of semismooth and regular functions in nonsmooth analysis

2005 ◽  
pp. 69-85
Author(s):  
Rafael Correa ◽  
Alejandro Jofré
Keyword(s):  
Nonsmooth Analysis ◽  
Regular Functions

Uniform continuity of nonautonomous superposition operators in ΛBV-spaces

2019 ◽  
Vol 31 (3) ◽  
pp. 713-726
Author(s):  
Jacek Gulgowski
Keyword(s):  
Sufficient Conditions ◽  
Uniform Continuity ◽  
Regular Functions ◽  
Superposition Operators

Abstract In this paper we investigate the problem of uniform continuity of nonautonomous superposition operators acting between spaces of functions of bounded Λ-variation. In particular, we give the sufficient conditions for nonautonomous superposition operators to continuously map a space of functions of bounded Λ-variation into itself. The conditions cover the generators being functions of {C^{1}} -class (in view of two variables), but also allow for less regular functions, including discontinuous generators.

scholarly journals Nonstandard tools of nonsmooth analysis

2012 ◽  
Vol 6 (3) ◽  
pp. 332-338
Author(s):  
S. S. Kutateladze
Keyword(s):  
Nonsmooth Analysis

Nonsmooth Analysis of Lorentz Invariant Functions

2007 ◽  
Vol 18 (3) ◽  
pp. 1106-1127 ◽  
Author(s):  
Hristo S. Sendov
Keyword(s):  
Nonsmooth Analysis ◽  
Invariant Functions

scholarly journals REGULAR FUNCTIONS ON THE SHILOV BOUNDARY

2005 ◽  
Vol 04 (06) ◽  
pp. 613-629 ◽  
Author(s):  
OLGA BERSHTEIN
Keyword(s):  
Symmetric Domain ◽  
Principal Series ◽  
Bounded Symmetric Domain ◽  
Bounded Symmetric Domains ◽  
Shilov Boundary ◽  
Generators And Relations ◽  
Regular Functions ◽  
Degenerate Principal Series

In this paper a *-algebra of regular functions on the Shilov boundary S(𝔻) of bounded symmetric domain 𝔻 is constructed. The algebras of regular functions on S(𝔻) are described in terms of generators and relations for two particular series of bounded symmetric domains. Also, the degenerate principal series of quantum Harish–Chandra modules related to S(𝔻) = Un is investigated.

scholarly journals On the univalence of some classes of regular functions

1971 ◽  
Vol 30 (2) ◽  
pp. 327-327 ◽  
Author(s):  
R. J. Libera ◽  
A. E. Livingston
Keyword(s):  
Regular Functions

scholarly journals Convergence in approximation and nonsmooth analysis

1987 ◽  
Vol 49 (1) ◽  
pp. 41-54 ◽  
Author(s):  
Nikolaus S Papageorgiou ◽  
Dimitrios A Kandilakis
Keyword(s):  
Nonsmooth Analysis
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