Zobrazeno 1 - 10
of 98
pro vyhledávání: '"Kassymov, Aidyn"'
In this paper, we obtain a fractional Hardy inequality in the case $Q
Externí odkaz:
http://arxiv.org/abs/2410.08039
In this paper, we prove the fractional Hardy inequality on polarisable metric measure spaces. The integral Hardy inequality for $1
Externí odkaz:
http://arxiv.org/abs/2407.15197
In this work, we study the global well-posedeness of the heat equation with variable time-dependent nonlinearity of the form $\varphi(t)f(u)$ on unimodular Lie groups when the differential operator arises as the sum of squares of H\"ormander vector f
Externí odkaz:
http://arxiv.org/abs/2404.05611
In this paper we first prove a number of important inequalities with explicit constants in the setting of the Heisenberg group. This includes the fractional and integer Sobolev, Gagliardo-Nirenberg, (weighted) Hardy-Sobolev, Nash inequalities, and th
Externí odkaz:
http://arxiv.org/abs/2310.00992
We establish Adams type Stein-Weiss inequality on global Morrey spaces on general homogeneous groups. Special properties of homogeneous norms and some boundedness results on global Morrey spaces play key roles in our proofs. As consequence, we obtain
Externí odkaz:
http://arxiv.org/abs/2308.09147
The aim of this paper is to begin a systematic study of functional inequalities on symmetric spaces of noncompact type of higher rank. Our first main goal of this study is to establish the Stein-Weiss inequality, also known as a weighted Hardy-Little
Externí odkaz:
http://arxiv.org/abs/2212.02641
In this paper, we obtain a reverse version of the integral Hardy inequality on metric measure space with two negative exponents. Also, as for applications we show the reverse Hardy-Littlewood-Sobolev and the Stein-Weiss inequalities with two negative
Externí odkaz:
http://arxiv.org/abs/2211.14034
In this note we extend several integral inequalities to the context of noncommutative Vilenkin groups. We prove some sharp weak and strong type estimates for the Hardy operator and the Hardy-Littlewood-P{\'o}lya operator on constant-order noncommutat
Externí odkaz:
http://arxiv.org/abs/2208.03495
In this paper, we show the nonexistence results for the Kirchhoff elliptic, parabolic, and hyperbolic type equations on the Heisenberg groups. Also, the pseudo-parabolic and pseudo-hyperbolic equations of the Kirchhoff-type are under consideration. T
Externí odkaz:
http://arxiv.org/abs/2110.01082
In this paper we obtain logarithmic Hardy and Rellich inequalities on general Lie groups. In the case of graded groups, we also show their refinements using the homogeneous Sobolev norms. In fact, we derive a family of weighted logarithmic Hardy-Rell
Externí odkaz:
http://arxiv.org/abs/2107.04874