Tangential boundary behavior of functions of several variables
Copyright policy )Tangential boundary behavior of functions of several variables
In the paper, there is studied the asymptotic behavior of functions of several real or complex variables defined in some domains when the point tends to the boundary with different orders of tangency. The main results are related to the boundary behavior of functions from Hardy-Sobolev spaces in a multidimensional complex ball and of solutions of elliptic boundary-value problems in a Lipschitz domain of a real Euclidean space.
- Belarusian State University Belarus
\(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Hardy-Sobolev space, elliptic boundary-value problem, Boundary value problems for higher-order elliptic equations, tangential boundary behavior, two-weighted estimate, Banach spaces of continuous, differentiable or analytic functions, Boundary behavior of holomorphic functions of several complex variables, Boundary values of solutions to elliptic equations and elliptic systems, Dirichlet problem
\(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Hardy-Sobolev space, elliptic boundary-value problem, Boundary value problems for higher-order elliptic equations, tangential boundary behavior, two-weighted estimate, Banach spaces of continuous, differentiable or analytic functions, Boundary behavior of holomorphic functions of several complex variables, Boundary values of solutions to elliptic equations and elliptic systems, Dirichlet problem
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