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Convexity of Non-homogeneous Quadratic Functions on the Hyperbolic Space
In this paper, some concepts related to the intrinsic convexity of non-homogeneous quadratic functions on the hyperbolic space are studied. Unlike in...
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Intrinsic Taylor Formula for Non-homogeneous Kolmogorov-Type Lie Groups
In this note we prove an intrinsic Taylor-like formula for a class of Lie groups arising in the study of some Kolmogorov operators of...
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A Dynamic Green’s Function for the Homogeneous Viscoelastic and Isotropic Half-Space
A dynamic 3D Green’s function for the homogeneous, isotropic and viscoelastic (of the Zener type) half-space is derived in a closed form. The results...
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Fractional Leibniz-type Rules on Spaces of Homogeneous Type
Let ( M , ρ , μ ) be a space of homogeneous type satisfying the reverse doubling condition and the non-collapsing condition. In view of the lack of the...
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A Survey of Hardy Type Inequalities on Homogeneous Groups
In this review paper, we survey Hardy type inequalities from the point of view of Folland and Stein’s homogeneous groups. Particular attention is...
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A Note on Homogeneous Geometry of \(G_2\) -Type Real Flag Manifolds
In this note, we describe the invariant metrics on real flag manifolds of the split real form of the exceptional Lie group...
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The smoothing effect in sharp Gevrey space for the spatially homogeneous non-cutoff Boltzmann equations with a hard potential
In this article, we study the smoothing effect of the Cauchy problem for the spatially homogeneous non-cutoff Boltzmann equation for hard potentials....
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A Copositivity-type Existence Result for Weakly Homogeneous Variational Inequalities
Recently, Gowda and Sossa [Math. Program., 2019, 177: 149–171] studied the existence of solutions to weakly homogeneous variational inequalities. In...
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The Krein–Milman Theorem for Homogeneous Polynomials
This note addresses the problem of recovering a convex set of homogeneous polynomials from the subset of its extreme points, i.e., the justification...
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Compactness of Fractional Type Integral Operators on Spaces of Homogeneous Type
For a space ( X, d, μ ) of homogeneous type and a fractional type integral operator K α defined on ( X, d, μ ) we find a necessary and sufficient...
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Volterra-Type Quadratic Stochastic Operators with a Homogeneous Tournament
As is known [3], each quadratic stochastic operator of Volterra type acting on a finite-dimensional simplex defines a certain tournament, the...
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Parabolic Muckenhoupt Weights with Time Lag on Spaces of Homogeneous Type with Monotone Geodesic Property
This work discusses parabolic Muckenhoupt weights with time lag on spaces of homogeneous type with an extra monotone geodesic property. The main...
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Quasi-Metric Spaces and Spaces of Homogeneous Type
Ever since the late 1970s it has been fully recognized that a significant portion of real analysis may be developed using very little of the...
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Parabolic Boundary-Value Problems in a Piecewise Homogeneous Wedge-Shaped Cylindrically Circular Space
By the method of integral and hybrid integral transforms in combination with the method of principal solutions (matrices of influence and Green’s...