Results 11 to 20 of about 177,509,228 (123)

The HELP inequality on trees [PDF]

, 2008
We establish analogues of Hardy and Littlewood's integro-differential equation for Schrödinger-type operators on metric and discrete trees, based on a generalised strong limit-point property of the graph ...
Brown, B. Malcolm, Langer, Matthias, Schmidt, Karl Michael   +2 more
core   +5 more sources

Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results [PDF]

, 2006
Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p Є [1,∞] are established.
Dragomir, Sever S
core   +7 more sources

Hardy-Littlewood-Sobolev inequalities via fast diffusion flows [PDF]

, 2009
04.02.15 KB. OK to add accepted version to spiralWe give a simple proof of the lambda = d - 2 cases of the sharp Hardy-Littlewood-Sobolev inequality for d >= 3, and the sharp Logarithmic Hardy-Littlewood-Sobolev inequality for d = 2 via a monotone flow ...
Carrillo, Jose A, Eric A. Carlen, José A. Carrillo, Jose ́ A. Carrillo, Michael Loss, Carlen, Eric A, Loss, Michael   +6 more
core   +1 more source

A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]

, 2004
In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Leping, He, Dragomir, Sever S, Qiaoshun, Yang   +2 more
core   +5 more sources

Mizohata–Takeuchi inequalities for orthonormal systems

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We establish some weighted L2$L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process, we develop a direct approach to such inequalities based on generalized Wigner distributions, complementing the Schatten space approach that is prevalent in the wider context of estimates for such orthonormal ...
Jonathan Bennett, Neal Bez, Susana Gutiérrez, Shohei Nakamura, Itamar Oliveira   +4 more
wiley   +1 more source

Existence of Weak Solutions for the Equations of a Non‐Newtonian Fluid With Non‐Standard Growth

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 7, July 2026.
ABSTRACT We consider the equations of a non‐Newtonian incompressible fluid in a general time‐space cylinder ΩT=Ω×(0,T)⊂Rn×R,n≥2$\Omega _{T} = \Omega \times (0,T) \subset \mathbb {R}^{n} \times \mathbb {R}, n \ge 2$. We assume that the rheology of the fluid is changing with respect to time and space, and satisfies, for each (x,t)∈ΩT$(x,t) \in \Omega _{T}
Hyeong‐Ohk Bae, Jörg Wolf
wiley   +1 more source

On the moments of exponential sums over r$r$‐free polynomials

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Let Fq[t]${\mathbb {F}}_q[t]$ denote the ring of polynomials over the finite field Fq${\mathbb {F}}_q$. Building off of techniques of Balog and Ruzsa and of Keil in the integer setting, we determine the precise order of magnitude of k$k$th moments of exponential sums over r$r$‐free polynomials in Fq[t]${\mathbb {F}}_q[t]$ for all k>0$k>0$.
Ben Doyle
wiley   +1 more source

Ramanujan-Fourier series and the conjecture D of Hardy and Littlewood [PDF]

, 2014
summary:We give a heuristic proof of a conjecture of Hardy and Littlewood concerning the density of prime pairs to which twin primes and Sophie Germain primes are special cases.
Gadiyar, H. Gopalakrishna, Padma, Ramanathan   +1 more
core   +1 more source

On an improved restricted reverse weak‐type bound for the maximal operator

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We obtain an improved lower bound for the restricted reverse weak‐type estimate of the Hardy–Littlewood maximal operator M$M$. This result is applied to the λ$\lambda$‐median maximal operator mλ$m_{\lambda }$ acting on a Banach function space X$X$.
Andrei K. Lerner
wiley   +1 more source

Vanishing Results for Hall-Littlewood Polynomials [PDF]

, 2012
It is well-known that if one integrates a Schur function indexed by a partition λ over the symplectic (resp. orthogonal) group, the integral vanishes unless all parts of λ have even multiplicity (resp. all parts of λ are even).
Venkateswaran, Vidya
core   +1 more source