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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 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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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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A Unitarily Invariant Norm Inequality for Positive Semidefinite Matrices and a Question of Bourin
In this article, we obtain a new unitarily invariant norm inequality for positive semidefinite matrices. In fact, we prove that if A and B are...
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Cauchy–Schwarz Operator and Norm Inequalities for Inner Product Type Transformers in Norm Ideals of Compact Operators, with Applications
In this survey paper we present operator and norm inequalities of Cauchy–Schwarz type:...
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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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Interior Hessian Estimates for σ2 Equations in Dimension Three
We prove a priori interior C 2 estimate for σ 2 = f in ℝ 3 , which generalizes Warren–Yuan’s result [Comm. Pure Appl. Math., 2009, 62(3): 305–321].
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A convex treatment of numerical radius inequalities
We prove an inner product inequality for Hilbert space operators. This inequality will be utilized to present a general numerical radius inequality...
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Matrix Hölder-McCarthy inequality via matrix geometric means
In this paper, by virtue of an expression of matrix geometric means for positive semidefinite matrices via the Moore-Penrose inverse, we show matrix...
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Hardy-Littlewood Type Theorems and a Hopf Type Lemma
The main aim of this paper is to investigate Hardy-Littlewood type Theorems and a Hopf type lemma on functions induced by a differential operator. We...
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Properties of Logharmonic Map**s
The main aim of this paper is to investigate properties of certain class of logharmonic map**s. Initially, we establish the argument principle of...
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On some Schwarz type inequalities
First, we establish some Schwarz type inequalities for map**s with bounded Laplacian, then we obtain boundary versions of the Schwarz lemma.
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Further Refinements and Generalizations of the Young’s and Its Reverse Inequalities
In this work, we mainly study refinements and generalizations of the Young’s and its reverse inequalities. First, utilizing the famous weighted...