Results 1 to 10 of about 9,207 (104)

Distributional versions of Littlewood's Tauberian theorem [PDF]

, 2010
We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham, A. Tauber, G. H. Hardy, G. H. Hardy, G. H. Hardy, I. Çanak, J. E. Littlewood, J. Korevaar, J. N. Drozzinov, J. Peetre, J. Vindas, J. Vindas, J. Vindas, Jasson Vindas, L. Schwartz, N. Wiener, O. Szász, R. Estrada, R. Estrada, R. Estrada, R. Estrada, R. Estrada, Ricardo Estrada, S. Pilipović, S. Pilipović, S. Pilipović, V. S. Vladimirov, V. S. Vladimirov   +27 more
core   +4 more sources

Optimal control of singular Fourier multipliers by maximal operators [PDF]

, 2013
We control a broad class of singular (or "rough") Fourier multipliers by geometrically-defined maximal operators via general weighted $L^2(\mathbb{R})$ norm inequalities. The multipliers involved are related to those of Coifman--Rubio de Francia--Semmes,
Bennett, Jonathan
core   +2 more sources

Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer [PDF]

, 2016
We study mixed weighted weak-type inequalities for families of functions, which can be applied to study classical operators in harmonic analysis. Our main theorem extends the key result from D. Cruz-Uribe, J.M. Martell and C.
Ombrosi, Sheldy, Perez, Carlos
core   +5 more sources

Shooting with degree theory: Analysis of some weighted poly-harmonic systems [PDF]

, 2014
In this paper, the author establishes the existence of positive entire solutions to a general class of semilinear poly-harmonic systems, which includes equations and systems of the weighted Hardy--Littlewood--Sobolev type.
Villavert, John
core   +1 more source

On a vector-valued Hopf-Dunford-Schwartz lemma [PDF]

, 2011
In this paper, we state as a conjecture a vector-valued Hopf-Dunford-Schwartz lemma and give a partial answer to it. As an application of this powerful result, we prove some Fe fferman-Stein inequalities in the setting of Dunkl analysis where the ...
Charpentier, Stéphane, Deleaval, Luc
core   +3 more sources

Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups [PDF]

, 2018
In this note we prove the Stein-Weiss inequality on general homogeneous Lie groups. The obtained results extend previously known inequalities. Special properties of homogeneous norms play a key role in our proofs.
Kassymov, Aidyn, Ruzhansky, Michael, Suragan, Durvudkhan   +2 more
core   +2 more sources

Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent

, 2017
We prove the existence of ground state solutions by variational methods to the nonlinear Choquard equations with a nonlinear perturbation \[ -{\Delta}u+ u=\big(I_\alpha*|u|^{\frac{\alpha}{N}+1}\big)|u|^{\frac{\alpha}{N}-1}u+f(x,u)\qquad \text{ in ...
Van Schaftingen, Jean, Xia, Jiankang
core   +1 more source

Arithmetic progressions at the Journal of the LMS

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We discuss the papers P. Erdős and P. Turán, On some sequences of integers, J. London Math. Soc. (1) 11 (1936), 261–264 and K. F. Roth, On certain sets of integers, J. London Math. Soc. (1) 28 (1953), 104–109, both foundational papers in the study of arithmetic progressions in sets of integers, and their subsequent influence.
Ben Green
wiley   +1 more source

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley   +1 more source