caa a22 4500 475741145 CHVBK 20180406123459.0 cr unu---uuuuu 170329e20000801xx s 000 0 eng 10.1007/BF02675346 doi (NATIONALLICENCE)springer-10.1007/BF02675346 Krotov V. Belarus State University, USSR aut Tangential boundary behavior of functions of several variables [Elektronische Daten] [V. Krotov] In this paper we study the asymptotic behavior of functions defined on domains of a multidimensional real or complex space when the point tends to the boundary in the approach region 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 to elliptic boundary-value problems in a Lipschitz domain of a real Euclidean space. The methods used are based on two-weighted estimates for tangential maximal functions in an abstract ball. The boundary of this ball is a space equipped with measure and quasimetric. Kluwer Academic/Plenum Publishers, 2000 tangential boundary behavior nationallicence Hardy-Sobolev space nationallicence elliptic boundary-value problem nationallicence Dirichlet problem nationallicence two-weighted estimate nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/2(2000-08-01), 201-216 0001-4346 68:2<201 2000 68 11006 https://doi.org/10.1007/BF02675346 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02675346 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Krotov V. Belarus State University, USSR aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/2(2000-08-01), 201-216 0001-4346 68:2<201 2000 68 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer