Boundary Schwarz lemma for holomorphic functions
نویسندگان
چکیده
منابع مشابه
Dissipative Holomorphic Functions, Bloch Radii, and the Schwarz Lemma
The Hille-Yosida and Lumer-Phillips theorems play an important role in the theory of linear operators and its applications to evolution equations, probability and ergodic theory. (See, for example, [17] and [9].) Different nonlinear generalizations and analogues of these theorems can be found, for instance, in [13] and [2]. We are interested in establishing analogues of these theorems for the c...
متن کاملA Schwarz Lemma for Correspondences and Applications
A version of the Schwarz lemma for correspondences is studied. Two applications are obtained namely, the ‘non-increasing’ property of the Kobayashi metric under correspondences and a weak version of the Wong-Rosay theorem for convex, finite type domains admitting a ‘non-compact’ family of proper correspon-
متن کاملSome Applications of Schwarz Lemma for Operators
A generalized Schwarz lemma and some Harnack type inequalities for operators have been obtained in this paper.
متن کاملSchwarz boundary problem on a triangle
In this paper, the Schwarz boundary value problem (BVP) for the inhomogeneous Cauchy-Riemann equation in a triangle is investigated explicitly. Firstly, by the technique of parquetingreflection and the Cauchy-Pompeiu representation formula a modified Cauchy-Schwarz representation formula is obtained. Then, the solution of the Schwarz BVP is explicitly solved. In particular, the boundary behavio...
متن کاملA Relative of the Lemma of Schwarz*
so that d(r, 0; ƒ') is the length of the segment on the w-plane between the image of the point 3 = 0 and the image of the point z = re. The lemma of Schwarz is the following: THEOREM 1. Let w=f(z) be analytic f or \z\ < 1 . If d(r,6;f)S 1 for all (r, 6) with r<l, then (1) d(r,0;f)gr and (2) | / ( 0 ) | ^ 1 . The sign of equality holds in (1) (for r^O) and in (2), if and only if \f(z) | = 1 ; th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2017
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1718553o