Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Morpurgo, Carlo"'
We obtain sharp estimates for heat kernels and Green's functions on complete noncompact Riemannian manifolds with Euclidean volume growth and nonnegative Ricci curvature. We will then apply these estimates to obtain sharp Moser-Trudinger inequalities
Externí odkaz:
http://arxiv.org/abs/2412.05638
Publikováno v:
Annali di Matematica Pura ed Applicata (2024)
Given a general complete Riemannian manifold $M$, we introduce the concept of "local Moser-Trudinger inequality on $W^{1,n}(M)$". We show how the validity of the Moser-Trudinger inequality can be extended from a local to a global scale under addition
Externí odkaz:
http://arxiv.org/abs/2408.06989
Autor:
Morpurgo, Carlo, Qin, Liuyu
Adams inequalities with exact growth conditions are derived for Riesz-like potentials on metric measure spaces. The results extend and improve those obtained recently on $\mathbb R^n$ by the second author, for Riesz-like convolution operators. As a c
Externí odkaz:
http://arxiv.org/abs/2211.02991
Autor:
Fontana, Luigi, Morpurgo, Carlo
We derive Adams inequalities for potentials on general measure spaces, extending and improving previous results obtained by the authors. The integral operators involved, which we call "Riesz subcritical", have kernels whose decreasing rearrangements
Externí odkaz:
http://arxiv.org/abs/1906.07784
Autor:
Fontana, Luigi, Morpurgo, Carlo
We derive sharp Adams inequalities for the Riesz and more general Riesz-like potentials on the whole of R^n. As a consequence, we obtain sharp Moser-Trudinger inequalities for the critical Sobolev spaces W^{a,n/a}(R^n), 0
Externí odkaz:
http://arxiv.org/abs/1702.02078
Autor:
Fontana, Luigi, Morpurgo, Carlo
We derive sharp Adams inequalities for the Riesz and other potentials of functions with arbitrary compact support in R^n. Up to now such results were only known for a class of functions whose supports have uniformly bounded measure. We obtain several
Externí odkaz:
http://arxiv.org/abs/1504.04678
Autor:
Morpurgo, Carlo, Qin, Liuyu
Publikováno v:
Mathematische Annalen; Sep2024, Vol. 390 Issue 1, p977-1047, 71p
Autor:
Morpurgo, Carlo, Liuyu Qin
Publikováno v:
AIMS Mathematics; 2024, Vol. 9 Issue 7, p19670-19676, 7p
We show that the Riemann zeta function \zeta\ has only countably many self-intersections on the critical line, i.e., for all but countably many z in C the equation \zeta(1/2+it)=z has at most one solution t in R. More generally, we prove that if F is
Externí odkaz:
http://arxiv.org/abs/1211.0044
Autor:
Fontana, Luigi, Morpurgo, Carlo
We prove sharp embedding inequalities for certain reduced Sobolev spaces that arise naturally in the context of Dirichlet problems with $L^1$ data. We also find the optimal target spaces for such embeddings, which in dimension 2 could be considered a
Externí odkaz:
http://arxiv.org/abs/1202.1133