Results 11 to 20 of about 9,207 (104)
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
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Sharp reversed Hardy--Littlewood--Sobolev inequality on the half space $\mathbb R_+^n$
, 2016 This is the second in our series of papers concerning some reversed Hardy--Littlewood--Sobolev inequalities. In the present work, we establish the following sharp reversed Hardy--Littlewood--Sobolev inequality on the half space $\mathbb R_+^n$ \[ \int_ ...
Nguyen, Van Hoang, Ngô, Quôc-Anh
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Evaluating Allocations of Opportunities
International Economic Review, Volume 67, Issue 1, Page 365-397, February 2026.ABSTRACT This paper provides a robust criterion for comparing lists of probability distributions—interpreted as allocations of opportunities—faced by different social groups. We axiomatically argue in favor of comparing those lists of probability distributions on the basis of a uniform—among groups—valuation of their expected utility.
Francesco Andreoli +3 more
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Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
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Existence of maximizers for Hardy-Littlewood-Sobolev inequalities on the Heisenberg group [PDF]
, 2013 In this paper, we investigate the sharp Hardy-Littlewood-Sobolev inequalities on the Heisenberg group. On one hand, we apply the concentration compactness principle to prove the existence of the maximizers. While the approach here gives a different proof
Han, Xiaolong
core
Non degeneracy of the bubble in the critical case for non local equations
, 2013 We prove the nondegeneracy of the extremals of the fractional Sobolev inequality as solutions of a critical semilinear nonlocal equation involving the fractional ...
Davila, Juan +2 more
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A survey of moment bounds for ζ(s)$\zeta (s)$: From Heath‐Brown's work to the present
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this expository article, we review some of the ideas behind the work of Heath–Brown (D. R. Heath‐Brown, J. London Math. Soc., (2), 24, (1981), no. 1, 65–78) on upper and lower bounds for moments of the Riemann zeta‐function, as well as the impact this work had on subsequent developments in the field.
Alexandra Florea
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Two-point correlation function for Dirichlet L-functions
, 2013 The two-point correlation function for the zeros of Dirichlet L-functions at a height E on the critical line is calculated heuristically using a generalization of the Hardy-Littlewood conjecture for pairs of primes in arithmetic progression.
Bogomolny, E., Keating, J. P.
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Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang +3 more
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Moments of the Riemann zeta function at its local extrema
Mathematika, Volume 71, Issue 4, October 2025.Abstract Conrey, Ghosh and Gonek studied the first moment of the derivative of the Riemann zeta function evaluated at the non‐trivial zeros of the zeta function, resolving a problem known as Shanks' conjecture. Conrey and Ghosh studied the second moment of the Riemann zeta function evaluated at its local extrema along the critical line to leading order.
Andrew Pearce‐Crump
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