In this paper, we prove some Poincare type inequalities of the Heisenberg group target space in the case of 2mm+1 p < 2. In order to overcome the obstacles which are due to the nonlinear structure of the group laws, there are some techniques in the arguments for proving the results
AbstractLet H=Cn×R be the n-dimensional Heisenberg group, Q=2n+2 be the homogeneous dimension of H, ...
In the spirit of an earlier result of M\"uller on the Heisenberg group we prove a restriction theore...
We prove that for any domain in the Heisenberg group the (k+1)'th Neumann eigenvalue of the sub-Lapl...
In this paper, we prove interior Poincaré and Sobolev inequalities in Euclidean spaces and in Heisen...
This note concerns Loomis–Whitney inequalities in Heisenberg groups Hn: |K|≲∏j=12n|πj(K)|n+1n(2n+1)...
AbstractLet G be a simple Lie group of real rank one and N be in the Iwasawa decomposition of G. We ...
We establish geometric inequalities in the sub-Riemannian setting of the Heisenberg group Hⁿ. Our re...
This thesis studies the generalization of improved Gagliardo Nirenberg inequalities on stratified Li...
International audienceLet $\H= $ be the discrete Heisenberg group, equipped with the left-invariant ...
In this paper we prove Poincar ́e and Sobolev inequalities for differ-ential forms in the Rumin’s co...
In this paper we prove Poincar´e and Sobolev inequalities for differential forms in the Rumin’s...
In this note we give a simple, dimension independent, proof of the logarithmic Sobolev inequality on...
International audienceLet G be a real connected Lie group with polynomial volume growth endowed with...
AbstractIn the spirit of an earlier result of D. Müller on the Heisenberg group we prove a restricti...
summary:We study regularity results for solutions $u\in H W^{1,p}(\Omega )$ to the obstacle problem ...
AbstractLet H=Cn×R be the n-dimensional Heisenberg group, Q=2n+2 be the homogeneous dimension of H, ...
In the spirit of an earlier result of M\"uller on the Heisenberg group we prove a restriction theore...
We prove that for any domain in the Heisenberg group the (k+1)'th Neumann eigenvalue of the sub-Lapl...
In this paper, we prove interior Poincaré and Sobolev inequalities in Euclidean spaces and in Heisen...
This note concerns Loomis–Whitney inequalities in Heisenberg groups Hn: |K|≲∏j=12n|πj(K)|n+1n(2n+1)...
AbstractLet G be a simple Lie group of real rank one and N be in the Iwasawa decomposition of G. We ...
We establish geometric inequalities in the sub-Riemannian setting of the Heisenberg group Hⁿ. Our re...
This thesis studies the generalization of improved Gagliardo Nirenberg inequalities on stratified Li...
International audienceLet $\H= $ be the discrete Heisenberg group, equipped with the left-invariant ...
In this paper we prove Poincar ́e and Sobolev inequalities for differ-ential forms in the Rumin’s co...
In this paper we prove Poincar´e and Sobolev inequalities for differential forms in the Rumin’s...
In this note we give a simple, dimension independent, proof of the logarithmic Sobolev inequality on...
International audienceLet G be a real connected Lie group with polynomial volume growth endowed with...
AbstractIn the spirit of an earlier result of D. Müller on the Heisenberg group we prove a restricti...
summary:We study regularity results for solutions $u\in H W^{1,p}(\Omega )$ to the obstacle problem ...
AbstractLet H=Cn×R be the n-dimensional Heisenberg group, Q=2n+2 be the homogeneous dimension of H, ...
In the spirit of an earlier result of M\"uller on the Heisenberg group we prove a restriction theore...
We prove that for any domain in the Heisenberg group the (k+1)'th Neumann eigenvalue of the sub-Lapl...
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