Gaussian estimates and L p -boundedness of Riesz means

2002 ◽  
Vol 2 (3) ◽  
pp. 299-317 ◽  
Author(s):  
Gilles Carron ◽  
Thierry Coulhon ◽  
El-Maati Ouhabaz
Keyword(s):  
Riesz Means ◽  
Gaussian Estimates

scholarly journals Generalized Gaussian estimates and riesz means of Schrödinger groups

2007 ◽  
Vol 82 (2) ◽  
pp. 149-162 ◽  
Author(s):  
Sönke Blunck
Keyword(s):  
Heat Kernel ◽  
Lower Order ◽  
Higher Order ◽  
Elliptic Operators ◽  
Riesz Means ◽  
Lower Order Terms ◽  
Selfadjoint Semigroups ◽  
Gaussian Estimates

AbstractWe show that generalized Gaussian estimates for selfadjoint semigroups (e-tA)t ∈ R+ on L2 imply Lp boundedness of Riesz means and other regularizations of the Schrödinger group (eitA)t ∈ R. This generalizes results restricted to semigroups with a heat kernel, which are due to Sjöstrand, Alexopoulos and more recently Carron, Coulhon and Ouhabaz. This generalization is crucial for elliptic operators A that are of higher order or have singular lower order terms since, in general, their semigroups fail to have a heat kernel.

scholarly journals On the Lebesgue constants of Fourier-Laplace series by Riesz Means

2017 ◽  
Vol 819 ◽  
pp. 012018
Author(s):  
Ahmad Fadly Nurullah bin Rasedee ◽  
Abdumalik A. Rakhimov ◽  
Anvarjon A. Ahmedov ◽  
Torla Bin Hj Hassan
Keyword(s):  
Lebesgue Constants ◽  
Riesz Means ◽  
Laplace Series

scholarly journals Riesz means on symmetric spaces

2021 ◽  
Vol 499 (1) ◽  
pp. 124970
Author(s):  
A. Fotiadis ◽  
E. Papageorgiou
Keyword(s):  
Symmetric Spaces ◽  
Riesz Means

scholarly journals Bochner-Riesz means on symmetric spaces

1998 ◽  
Vol 50 (4) ◽  
pp. 557-570 ◽  
Author(s):  
Christopher Meaney ◽  
Elena Prestini
Keyword(s):  
Symmetric Spaces ◽  
Riesz Means

scholarly journals Lp-Lq estimates off the line of duality

1995 ◽  
Vol 58 (2) ◽  
pp. 154-166 ◽  
Author(s):  
J.-G. Bak ◽  
D. McMichael ◽  
D. Oberlin
Keyword(s):  
Sobolev Inequalities ◽  
Riesz Means ◽  
Negative Order

AbstractTheorems 1 and 2 are known results concerning Lp–Lq estimates for certain operators wherein the point (1/p, 1/q) lies on the line of duality 1/p + 1/q = 1. In Theorems 1′ and 2′ we show that with mild additional hypotheses it is possible to prove Lp-Lq estimates for indices (1/p, 1/q) off the line of duality. Applications to Bochner-Riesz means of negative order and uniform Sobolev inequalities are given.

scholarly journals Weighted Estimates for Bilinear Bochner-Riesz Means at the Critical Index

2020 ◽  
Author(s):  
K. Jotsaroop ◽  
Saurabh Shrivastava ◽  
Kalachand Shuin
Keyword(s):  
Critical Index ◽  
Riesz Means ◽  
Weighted Estimates
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