A refinement of Schwarz's lemma at the boundary
UDC 517.5 We investigate a boundary version of the Schwarz lemma for analytic functions.  In addition, an analytic function satisfying the equality case is found by deducing inequalities related to the modulus of the derivative of analytic functions at a bounda...
Saved in:
| Date: | 2024 |
|---|---|
| Main Author: | Örnek, Bülent Nafi |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2024
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7364 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
A refinement of Schwarz’s lemma at the boundary
by: B. N. Örnek
Published: (2024)
by: B. N. Örnek
Published: (2024)
Some remarks for analytic functions related to Fibonacci polynomials and their applications
by: Düzenli, Timur, et al.
Published: (2026)
by: Düzenli, Timur, et al.
Published: (2026)
The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc
by: Örnek, B.N.
Published: (2016)
by: Örnek, B.N.
Published: (2016)
A note on S-Nakayama's lemma
by: A. Hamed
Published: (2020)
by: A. Hamed
Published: (2020)
Estimates for analytic functions concerned with Hankel determinant
by: Örnek, B. N., et al.
Published: (2021)
by: Örnek, B. N., et al.
Published: (2021)
On applications of the extended Jack's lemma
by: Kumar, S. Sivaprasad, et al.
Published: (2026)
by: Kumar, S. Sivaprasad, et al.
Published: (2026)
A note on $S$-Nakayama’s lemma
by: Hamed , A., et al.
Published: (2020)
by: Hamed , A., et al.
Published: (2020)
Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line
by: S. A. Plaksa
Published: (2019)
by: S. A. Plaksa
Published: (2019)
Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line
by: Plaksa, S.A.
Published: (2019)
by: Plaksa, S.A.
Published: (2019)
On the angular derivatives of certain class of holomorphic functions in the unit disc
by: B. N. Ornek
Published: (2013)
by: B. N. Ornek
Published: (2013)
The space of Schwarz-Klein spherical triangles
by: A. Eremenko, et al.
Published: (2020)
by: A. Eremenko, et al.
Published: (2020)
The Schwarz-Voronov Embedding of ℤⁿ₂-Manifolds
by: Bruce, Andrew James, et al.
Published: (2020)
by: Bruce, Andrew James, et al.
Published: (2020)
Rejection lemma and almost split sequences
by: Yu. A. Drozd
Published: (2021)
by: Yu. A. Drozd
Published: (2021)
The Stacey-Roberts Lemma for Banach Manifolds
by: Kristel, Peter, et al.
Published: (2025)
by: Kristel, Peter, et al.
Published: (2025)
A Higher-Dimensional Version of the Brody Reparametrization Lemma
by: Nguyen, Doan Tuan, et al.
Published: (2004)
by: Nguyen, Doan Tuan, et al.
Published: (2004)
A Higher-Dimensional Version of the Brody Reparametrization Lemma
by: Nguyen Doan Tuan
Published: (2004)
by: Nguyen Doan Tuan
Published: (2004)
Rejection lemma and almost split sequences
by: Drozd, Yu. A., et al.
Published: (2021)
by: Drozd, Yu. A., et al.
Published: (2021)
The Chazy XII Equation and Schwarz Triangle Functions
by: Bihun, O., et al.
Published: (2017)
by: Bihun, O., et al.
Published: (2017)
Generalization of the H.A. Schwarz Theorem on Stability of Minimal Surfaces
by: Aminov, Yu., et al.
Published: (2007)
by: Aminov, Yu., et al.
Published: (2007)
Matrix Bailey Lemma and the Star-Triangle Relation
by: Magadov, K.Yu., et al.
Published: (2018)
by: Magadov, K.Yu., et al.
Published: (2018)
Euler Equations Related to the Generalized Neveu-Schwarz Algebra
by: Zuo, D.
Published: (2013)
by: Zuo, D.
Published: (2013)
Inverse problem for fractional diffusion equation in Schwarz-type spaces
by: A. O. Lopushanskyi, et al.
Published: (2019)
by: A. O. Lopushanskyi, et al.
Published: (2019)
q -Difference Kac-Schwarz Operators in Topological String Theory
by: Takasaki, K., et al.
Published: (2017)
by: Takasaki, K., et al.
Published: (2017)
On the Bernstein - Walsh-type lemmas in regions of the complex plane
by: Abdullayev, F. G., et al.
Published: (2011)
by: Abdullayev, F. G., et al.
Published: (2011)
Generalization of one Poletskii lemma to classes of space mappings
by: Sevost'yanov, E. A., et al.
Published: (2009)
by: Sevost'yanov, E. A., et al.
Published: (2009)
On the Bernstein - Walsh-type lemmas in regions of the complex plane
by: Abdullayev, F.G., et al.
Published: (2011)
by: Abdullayev, F.G., et al.
Published: (2011)
On one property of kernel functions of the Schwarz formula for a finite connected circular domain
by: Dunduchenkо, L. E., et al.
Published: (1971)
by: Dunduchenkо, L. E., et al.
Published: (1971)
Elliptic Well-Poised Bailey Transforms and Lemmas on Root Systems
by: Bhatnagar, G., et al.
Published: (2018)
by: Bhatnagar, G., et al.
Published: (2018)
A Differential Analog of the Main Lemma of the Theory of Markov Branching Processes and Its Applications
by: Imomov, A. A., et al.
Published: (2005)
by: Imomov, A. A., et al.
Published: (2005)
Analogs of the Ikoma?Schwartz lemma and Liouville theorem for mappings with unbounded characteristic
by: Salimov, R. R., et al.
Published: (2011)
by: Salimov, R. R., et al.
Published: (2011)
Generalization of the Schwarz–Pick inequality and its application to the extreme problems of approximation of holomorphic functions
by: Savchuk, V., et al.
Published: (2025)
by: Savchuk, V., et al.
Published: (2025)
Generalized Gauss Lemma about Characters of Pair of Elements of Finite Prime Field
by: Yu. Bespalov
Published: (2017)
by: Yu. Bespalov
Published: (2017)
Refinement of Isoperimetric Inequality of Minkowski with the Account of Singularities in Boundaries of Intrinsic Parallel Bodies
by: V. I. Diskant
Published: (2014)
by: V. I. Diskant
Published: (2014)
Refinement of Isoperimetric Inequality of Minkowski with the Account of Singularities in Boundaries of Intrinsic Parallel Bodies
by: Diskant, V.I.
Published: (2014)
by: Diskant, V.I.
Published: (2014)
Nonlocal boundary value problem for a equation with differentiation operator zd/dz in a refined Sobolev scale
by: V. S. Ilkiv, et al.
Published: (2020)
by: V. S. Ilkiv, et al.
Published: (2020)
Application of x-metering in refining the facial boundaries of central zone of the Dniepr-Donets depression
by: I. H. Kryva, et al.
Published: (2013)
by: I. H. Kryva, et al.
Published: (2013)
Elliptic problems in the sense of Lawruk with boundary operators of higher orders in refined Sobolev scale
by: T. M. Kasirenko, et al.
Published: (2017)
by: T. M. Kasirenko, et al.
Published: (2017)
Solvability of a nonlocal boundary-value problem for the operator-differential equation with weak nonlinearity in a refined scale of Sobolev spaces
by: V. S. Ilkiv, et al.
Published: (2015)
by: V. S. Ilkiv, et al.
Published: (2015)
Solvability of the Nonlocal Boundary-Value Problem for a System of Differential-Operator Equations in the Sobolev Scale of Spaces and in a Refined Scale
by: V. S. Ilkiv, et al.
Published: (2015)
by: V. S. Ilkiv, et al.
Published: (2015)
Solvability of the Nonlocal Boundary-Value Problem for a System of Differential-Operator Equations in the Sobolev Scale of Spaces and in a Refined Scale
by: Il'kiv, V. S., et al.
Published: (2015)
by: Il'kiv, V. S., et al.
Published: (2015)
Similar Items
-
A refinement of Schwarz’s lemma at the boundary
by: B. N. Örnek
Published: (2024) -
Some remarks for analytic functions related to Fibonacci polynomials and their applications
by: Düzenli, Timur, et al.
Published: (2026) -
The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc
by: Örnek, B.N.
Published: (2016) -
A note on S-Nakayama's lemma
by: A. Hamed
Published: (2020) -
Estimates for analytic functions concerned with Hankel determinant
by: Örnek, B. N., et al.
Published: (2021)