Results 61 to 70 of about 21,571 (171)
Potential trace inequalities via a Calderón‐type theorem
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
wiley +1 more source
, 2012 One introduces the concept of greedy k-summability in such a way, that the direct product of one greedy k-summable numeric array onto another greedy n-summable numeric array to be greedy (n+k+1)-summable.
openaire +2 more sources
The weak (1,1) boundedness of Fourier integral operators with complex phases
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley +1 more source
Weighted norm inequalities of Bochner–Riesz means
Journal of Mathematical Analysis and Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Bochner-Riesz means on symmetric spaces
Tohoku Mathematical Journal, 1998 Suppose that \(G/K\) is a noncompact rank one Riemannian symmetric space of dimension \(d\). Denote by \(-\Delta_0\) the Laplace-Beltrami operator on \(G/K\), and by \(-\Delta\) its self-adjoint extension to \(L^2(G/K)\). Its spectral resolution is \(-\Delta= \int^\infty_{|\rho|^2} tdE(t)\), where the constant \(|\rho|^2\) depends on the geometry of ...
Meaney, Christopher, Prestini, Elena
openaire +3 more sources
Absolute summability factors for Cesàro and Riesz means
, 2022 Summary: In this paper we characterize the sets of summability factors \(({|C, 0|}_k, {|R, p_n|}_s)\) and \(({|R, p_n|}_k, {|C, 0|}_s)\), \(1 < k \leq s < \infty\), which also extends some known results.
openaire +2 more sources
Absolute summability by Riesz means [PDF]
Pacific Journal of Mathematics, 1970 openaire +4 more sources
Bilinear Bochner-Riesz Means on Métivier groups
41 pages, 2 ...
Bagchi, Sayan +2 more
openaire +2 more sources
Riesz means via heat kernel bounds [PDF]
, 2016 Summary: Let \((M, \rho, \mu)\) be a space of doubling volume growth and \(L\) a self-adjoint positive definite operator. We assume that the corresponding heat kernel satisfies certain upper Gaussian bounds and we prove \(L^p\) estimates for Bochner-Riesz means \(\sigma_{\alpha,R}(L)\), based only on these bounds.
Cleanthous, Galatia +1 more
openaire +1 more source