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Homogenizations of integro-differential equations with L{é}vy operators with asymmetric and degenerate densities
Homogenizations of integro-differential equations L{é}vy operators asymmetric degenerate densities
2011/1/21
We consider periodic homogenization problems for the L´evy operators with asymmetric L´evy densities. The formal asymptotic expansion used for the -stable (symmetric) L´evy operator...
On integral equations related to weighted Toepitz operators
Toeplitz operators Lipschitz spaces holomorphic Besov spaces Hardy spaces
2010/12/7
For weighted Toeplitz operators T N ' defined on spaces of holomorphic functions in the unit ball, we derive regularity prop-erties of the solutions f to the integral equation T N ' (f) = h in terms o...
Some Results Associated With Fractional Calculus Operators Involving Appell Hypergeometric Function
Analytic functions Hardy space Fractional derivatives and fractional integrals Appell hypergeometric function Inclusion relation
2010/1/22
A class of fractional derivative operators (with the Appell hypergeometric function in the kernel) is used here to define a new subclass of analytic functions and a coefficient bound inequality is est...