Heisenberg group
Multiplicity and boundedness of solutions for quasilinear elliptic equations on Heisenberg group
... In this paper, we study a class of quasilinear elliptic equations on Heisenberg group by using the nonsmooth critical point theory.. This article is distributed under the terms of the Cr[r] ...
15
\(L^{p}\) and BMO bounds for weighted Hardy operators on the Heisenberg group
... norm in each case is derived. Furthermore, we introduce a type of weighted multilinear Hardy operators and obtain the characterizations of their weights for which the weighted multilinear Hardy operators are bounded on ...
12
A Hardy Inequality with Remainder Terms in the Heisenberg Group and the Weighted Eigenvalue Problem
... Based on properties of vector fields, we prove Hardy inequalities with remainder terms in the Heisenberg group and a compact embedding in weighted Sobolev spaces. The best constants in Hardy inequalities ...
24
Systems of semilinear evolution inequalities with temporal fractional derivative on the Heisenberg group
... This paper is organized as follows. In Section , we present some essential facts from fractional calculus, more precisely, the definitions of the fractional derivative in the sense of Riemann-Liouville and in sense of ...
15
Littlewood-Paley g-function and Radon Transform on the Heisenberg Group
... Lie group in [6, 7, 8] by using the continuous wavelet ...the Heisenberg group, many scholars have studied Littlewood-Paley theory on the Heisenberg group in recent ...
12
Multiple solutions of semilinear elliptic systems on the Heisenberg group
... In this paper, a class of semilinear elliptic systems which have a strong resonance at the first eigenvalue on the Heisenberg group is considered.. This is an Open Access article distribu[r] ...
10
Green’s function for certain domains in the Heisenberg group Hn
... where x ∗ is called the inverse of R n ∪ {∞} relative to the unit sphere. We are fortunate enough to have an analogue of the Kelvin transform for the Heisenberg group given by Korányi [] and also by ...
16
Subelliptic equations with singular nonlinearities on the Heisenberg group
... In this paper, we obtained the monotonicity of cylindrical solutions to the Dirichlet bound- ary value problem to singular semilinear subelliptic equation on the Heisenberg group.. It is[r] ...
22
An improved Hardy type inequality on Heisenberg group
... Abstract Motivated by the work of Ghoussoub and Moradifam, we prove some improved Hardy inequalities on the Heisenberg group Hn via Bessel function.. Mathematics Subject Classification 2[r] ...
8
Multiple non-negative solutions to a semilinear equation on Heisenberg group with indefinite nonlinearity
... 2 = 2q/(q – 2) is the critical exponent of the Sobolev embedding on the Heisenberg group. The function K ( ξ ) may be sign changing on . Using the variational method, we prove that this problem has at least ...
17
The Fourier transforms of Lipschitz functions on the Heisenberg group
... the Heisenberg group an analogue of Bernstein’s theorem on the absolute convergence of the Fourier series of Lipschitz functions of order α > 1/2 on the circle group T = ...unitary group of ...
5
Hardy type inequalities on a half space in the Heisenberg group
... Yang, Q: Hardy type inequalities related to Carnot-Carathéodory distance on the Heisenberg group.. D’Ambrosio, L: Some Hardy inequalities on the Heisenberg group.[r] ...
7
On the Identity Problem for the Special Linear Group and the Heisenberg Group
... Linear Group SL(2, Z) and undecidable for matrices from SL(4, ...Linear Group SL(3, Z) and show that there is no embedding from a set of pairs over a semigroup alphabet to any matrix semigroup in SL(3, Z) ...
23
Morrey type estimates for commutator of fractional integral associated with Schrödinger operators on the Heisenberg group
... Heisenberg groups, in discrete and continuous versions, appear in many parts of mathe- matics, including Fourier analysis, several complex variables, geometry, and topology. We state some basic results about the ...
14
Riesz Potential on the Heisenberg Group
... On the one hand, it can be realized as the boundary of the unit ball in several complex variables. On the other hand, an important aspect of the study of the Heisenberg group is the background of physics, ...
13
Hypercomplex Representations of the Heisenberg Group and Mechanics
... the group (the Heisenberg group more specifically) itself, we rather consider its rep- resentations in different functional spaces created by three types of hypercomplex ...
20
A NOTE ON BENEDICKS’ THEOREM ON HEISENBERG GROUP
... the group Fourier transform f () of the function is a rank one operator for all 0, then the function is ...the Heisenberg group is supported on the set BR, BC n is of finite Lebesgue measure ...
5
RECTIFYING DEVELOPABLE SURFACE OF TIMELIKE BIHARMONIC CURVE IN THE LORENTZIAN HEISENBERG GROUP HEIS
... In this paper, we consider the reliability of k-out-of-n: F systems and its conditional form with exchangeable components in the stress-strength setup.. We assume a random stress common [r] ...
7
Hardy inequalities with Aharonov Bohm type magnetic field on the Heisenberg group
... Recently, a version of the Aharonov-Bohm magnetic field for a Grushin subelliptic oper- ator has been introduced by Aermark and Laptev []. Furthermore, such quadratic form also satisfies an improved Hardy inequality. In ...
6
Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications
... In this section we make some comments on the extension of above results to the case of homogeneous groups. Homogeneous groups can be exemplified by an n-dimensional Euclidean space, Heisenberg groups, and so on. ...
13