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On Schwarz–Pick-Type Inequality and Lipschitz Continuity for Solutions to Nonhomogeneous Biharmonic Equations
The purpose of this paper is to study the Schwarz–Pick type inequality and the Lipschitz continuity for the solutions to the nonhomogeneous...
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Schwarz type lemmas and their applications in Banach spaces
The main purpose of this paper is to develop some methods to investigate the Schwarz type lemmas of holomorphic map**s and pluriharmonic map**s...
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On Schwarz-Pick Type Inequality for Map**s Satisfying Poisson Differential Inequality
Let f be a twice continuously differentiable self-map** of a unit disk satisfying Poisson differential inequality ∣Δ f ( z )∣ ≤ B · ∣ Df ( z )∣ 2 for some B...
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Positivity and Schwarz inequality for Banach *-algebras
We establish the Schwarz inequality for a class of Banach *-algebras, and use it to derive some consequences, for example when a linear map between...
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The boundary Schwarz lemma and the rigidity theorem on Reinhardt domains B
p n of ℂnBy introducing the Carathéodory metric, we establish the Schwarz lemma at the boundary for holomorphic self-map**s on the unit p -ball B
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Schwarz–Pick Estimates of the Real Unit Ball for Harmonic Map**s
In this paper, Schwarz–Pick estimates are obtained for harmonic map**s from the unit ball of ℝ n into origin-symmetric bounded convex domains Ω ⊂ ℝ m ,...
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Inverse Problem for the Fractional Diffusion Equation in Schwarz-Type Spaces
We establish sufficient conditions for the unique solvability of the inverse problem of finding two unknown functions from a Schwarz-type space of...
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A Generalization of the Schwarz Lemma for Transversally Harmonic Maps
In this paper, we consider transversally harmonic maps between Riemannian manifolds with Riemannian foliations. In terms of the Bochner techniques...
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General Heinz-Schwarz Type Inequalities for Certain Map**s in Space
The aim of this paper is to establish several kinds of general Heinz-Schwarz type inequalities for certain self-map**s of unit ball in space.
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On Cauchy–Schwarz type inequalities and applications to numerical radius inequalities
In this work, a refinement of the Cauchy–Schwarz inequality in inner product space is proved. A more general refinement of the Kato’s inequality or...
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Schwarz Problem for J-Analytic Functions in an Ellipse
AbstractThe Schwarz problem for functions analytic in the sense of Douglis in an ellipse is considered. Necessary and sufficient conditions on the
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Schwarz Lemma Type Estimates for Solutions to Nonlinear Beltrami Equation
We continue to investigate the regular homeomorphic solutions to nonlinear Beltrami equation introduced in Golberg and Salimov (Complex Var Elliptic...
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Infinitesimal Schwarz Lemma in infinite-dimensional spaces
We state and prove an infinitesimal version of the Schwarz Lemma that involves infinite-dimensional spaces. The emphasis here is on the term...
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Schwarz Lemma: The Case of Equality and an Extension
We prove two results related to the Schwarz lemma in complex geometry. First, we show that if the inequality in the Schwarz lemmata of Yau, Royden...