We study Hardy-type inequalities on infinite homogeneous trees. More precisely, we derive optimal Hardy weights for the combinatorial Laplacian in this setting and we obtain, as a consequence, optimal improvements for the Poincaré inequality
In this paper, we give an extension of the classical Caffarelli-Kohn-Nirenberg inequalities with res...
We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a w...
We prove second and fourth order improved Poincaré type inequalities on the hyperbolic space involvi...
We find sharp conditions on the growth of a rooted regular metric tree such that the Neumann Laplaci...
We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a w...
We study Hardy-type inequalities associated to the quadratic form of the shifted Laplacian on the hy...
We present various results concerning the two-weight Hardy's inequality on infinite trees. Our main ...
In this paper, we study certain inequalities and a related result for weighted Sobolev spaces on Höl...
We prove optimal improvements of the Hardy inequality on the hyperbolic space. Here, optimal means t...
19 pages; new inequalities have been added yielding also new results on Rn; therefore, the title has...
In this paper, we study the heat equation on a homogeneous graph, relative to the natural (nearest–n...
This open access book provides an extensive treatment of Hardy inequalities and closely related topi...
We investigate the possibility of improving the p-Poincare inequality parallel to on the hyperbolic ...
In this note, we give several characterizations of weights for two-weight Hardy inequalities to hold...
In this paper, we establish discrete Hardy-Rellich inequalities on $\mathbb{N}$ with $\Delta^\frac{\...
In this paper, we give an extension of the classical Caffarelli-Kohn-Nirenberg inequalities with res...
We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a w...
We prove second and fourth order improved Poincaré type inequalities on the hyperbolic space involvi...
We find sharp conditions on the growth of a rooted regular metric tree such that the Neumann Laplaci...
We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a w...
We study Hardy-type inequalities associated to the quadratic form of the shifted Laplacian on the hy...
We present various results concerning the two-weight Hardy's inequality on infinite trees. Our main ...
In this paper, we study certain inequalities and a related result for weighted Sobolev spaces on Höl...
We prove optimal improvements of the Hardy inequality on the hyperbolic space. Here, optimal means t...
19 pages; new inequalities have been added yielding also new results on Rn; therefore, the title has...
In this paper, we study the heat equation on a homogeneous graph, relative to the natural (nearest–n...
This open access book provides an extensive treatment of Hardy inequalities and closely related topi...
We investigate the possibility of improving the p-Poincare inequality parallel to on the hyperbolic ...
In this note, we give several characterizations of weights for two-weight Hardy inequalities to hold...
In this paper, we establish discrete Hardy-Rellich inequalities on $\mathbb{N}$ with $\Delta^\frac{\...
In this paper, we give an extension of the classical Caffarelli-Kohn-Nirenberg inequalities with res...
We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a w...
We prove second and fourth order improved Poincaré type inequalities on the hyperbolic space involvi...
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