A result on a Dirac-type equation in spaces of analytic functions

Analysis ◽  
2017 ◽  
Vol 37 (2) ◽  
Author(s):  
Daniel Oliveira da Silva
Keyword(s):  
Initial Data ◽  
Analytic Functions ◽  
Type Equation ◽  
Quadratic Nonlinearity ◽  
Dirac Type ◽  
Gevrey Spaces ◽  
Spaces Of Analytic Functions

AbstractWe consider a Dirac-type equation with a quadratic nonlinearity with initial data in the Gevrey spaces

The Thirring model in spaces of analytic functions

2018 ◽  
Vol 9 (2) ◽  
pp. 153-158 ◽  
Author(s):  
Daniel Oliveira da Silva
Keyword(s):  
Cauchy Problem ◽  
Analytic Functions ◽  
Thirring Model ◽  
Sufficient Condition ◽  
Gevrey Spaces ◽  
The Cauchy Problem ◽  
Short Time ◽  
Spaces Of Analytic Functions

AbstractWe consider the Cauchy problem for the Thirring model in the Gevrey spaces{G^{\sigma,s}}. In particular, we prove that the analyticity of solutions persists for a short time. In addition, we derive a sufficient condition to ensure that solutions will continue to be analytic for all time.

scholarly journals Integration Operators in Average Radial Integrability Spaces of Analytic Functions

2021 ◽  
Vol 18 (3) ◽  
Author(s):  
Tanausú Aguilar-Hernández ◽  
Manuel D. Contreras ◽  
Luis Rodríguez-Piazza
Keyword(s):  
Analytic Functions ◽  
Spaces Of Analytic Functions

scholarly journals QKtype spaces of analytic functions

2006 ◽  
Vol 4 (1) ◽  
pp. 73-84 ◽  
Author(s):  
Hasi Wulan ◽  
Jizhen Zhou
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Sufficient Conditions ◽  
Nondecreasing Function ◽  
Necessary And Sufficient Conditions ◽  
Type Space ◽  
Necessary And Sufficient ◽  
Spaces Of Analytic Functions

For a nondecreasing functionK:[0,8)?[0,8)and0<p<8,-2<q<8, we introduceQK(p,q), aQKtype space of functions analytic in the unit disk and study the characterizations ofQK(p,q). Necessary and sufficient conditions onKsuch thatQK(p,q)become some known spaces are given.

Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions

1999 ◽  
Vol 42 (2) ◽  
pp. 139-148 ◽  
Author(s):  
José Bonet ◽  
Paweł Dománski ◽  
Mikael Lindström
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Analytic Functions ◽  
Composition Operators ◽  
Essential Norm ◽  
Weak Compactness ◽  
Weakly Compact ◽  
Point Evaluation ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions

AbstractEvery weakly compact composition operator between weighted Banach spaces of analytic functions with weighted sup-norms is compact. Lower and upper estimates of the essential norm of continuous composition operators are obtained. The norms of the point evaluation functionals on the Banach space are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.

Sign in / Sign up

Export Citation Format

Share Document