Harmonic analysis of harmonic functions in the plane
نویسندگان
چکیده
منابع مشابه
On the Linear Combinations of Slanted Half-Plane Harmonic Mappings
In this paper, the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-gamma) $ are studied. Our result improves some recent works. Furthermore, a illustrative example and imagine domains of the linear combinations satisfying the desired conditions are enumerated.
متن کاملHarmonic Analysis of Functions
Sato’s hyperfunctions are known to be represented as the boundary values of harmonic functions as well as those of holomorphic functions. The author obtains a bijective Poisson mapping P : S∗′(Rn) −→ S∗′(S∗Rn) ∩H(S∗Rn) where H(S∗Rn) is a kind of Hardy subspace of B(S∗Rn). Moreover, the author has an isomorphism between Sobolev spaces P : W (R) −→ W s+(n−1)/4(S∗Rn) ∩H(S∗Rn). There are some simil...
متن کاملA lower estimate of harmonic functions
We shall give a lower estimate of harmonic functions of order greater than one in a half space, which generalize the result obtained by B. Ya. Levin in a half plane.
متن کاملPositive Harmonic Functions on Denjoy Domains in the Complex Plane
Let Ω be a domain in the complex plane C whose complement E = C \ Ω, where C = C ∪ {∞} is a subset of the real line (i.e. Ω is a Denjoy domain). If each point of E is regular for the Dirichlet problem in Ω, we provide a geometric description of the structure of E near infinity such that the Martin boundary of Ω has one or two “infinite” points.
متن کاملHarmonic Mappings in the Plane
A catalog record for this book is available from the British Library. Harmonic mappings in the plane / Peter Duren. Includes bibliographical references and index.
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: Proceedings of the American Mathematical Society
سال: 1976
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1976-0390216-1