Results 71 to 80 of about 27,509 (180)

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
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Riesz transforms, Cauchy-Riemann systems and amalgam Hardy spaces

, 2018
In this paper we study Hardy spaces $\mathcal{H}^{p,q}(\mathbb{R}^d ...
Assaubay, Al-Tarazi, Betancor, Jorge J., Castro, Alejandro J., Fariña, Juan C.   +3 more
core  

Existence of solutions for Choquard equations with an L 1 $L^{1}$ -integrable reciprocal potential and upper critical growth

Boundary Value Problems
This paper is dedicated to studying the Choquard-type equation { − Δ u + V ( x ) u = ( I α ∗ | u | p ) | u | p − 2 u + λ | u | q − 2 u , u ∈ H 1 ( R N ) , $$ \left \{ \textstyle\begin{array}{l} - \Delta u + V(x)u = ( {{I_{\alpha }} * {{\left | u \right |}
Ting Guo, Tianle Xia, Xianhua Tang
doaj   +1 more source

Ground state solution for Schrödinger-Choquard equation: doubly critical case

Boundary Value Problems
In this paper, we investigate the following Schrödinger-Choquard equation: − Δ u + u = ( I α ∗ | u | 2 α ♯ ) | u | 2 α ♯ − 2 u + | u | q − 2 u + | u | r − 2 u , x ∈ R N , $$ -\Delta u+u = (I_{\alpha }*|u|^{2_{\alpha }^{\sharp }})|u|^{2_{\alpha }^{ \sharp
Yusheng Shen, Zhiwei Zou, You Gao
doaj   +1 more source

Normalized solutions for the Choquard equations with critical nonlinearities

Advances in Nonlinear Analysis
This study is concerned with the existence of normalized solutions for the Choquard equations with critical nonlinearities −Δu+λu=f(u)+(Iα∗∣u∣2α*)∣u∣2α*−2u,inRN,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}-\Delta u+\lambda u=f\left(u)+\left({I}_{\alpha }\ast ...
Gao Qian, He Xiaoming
doaj   +1 more source

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.
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Absolute summability by Riesz means [PDF]

Pacific Journal of Mathematics, 1970
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Bilinear Bochner-Riesz Means on Métivier groups

41 pages, 2 ...
Bagchi, Sayan, Molla, Md Nurul, Singh, Joydwip   +2 more
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Double exponential quadrature for fractional diffusion. [PDF]

Numer Math (Heidelb), 2023
Rieder A.
europepmc   +1 more source

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, Georgiadis, Athanasios   +1 more
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