12 papers
The missing two-point inequality in Weissler's conjecture
Yi C. Huang, Paata Ivanisvili
Weissler's conjectured characterization of complex hypercontractivity on the Hamming cube remained open in the ranges and . Ivanisvili--Nazarov estab…
A proof of the Prelov conjecture
Yi C. Huang, Fei Xue
In this paper we present a complete proof of a conjecture due to V. V. Prelov in 2010 about an information inequality for the binary entropy function.
On Landau-Kato inequalities via semigroup orbits
Yi C. Huang, Yanlu Lian, Fei Xue
Let . Given a strongly continuous semigroup on a Banach space and an element satisfying the exponential orbital estimates $$\|e^{tA}f\|\leq…
Minimum number-phase uncertainty states via weighted Bergman spaces
Yi C. Huang
The number-phase uncertainty result of Luo via the Hardy space on unit disc (Phys Lett A, 2000) is extended in this paper to the scale of weighted Bergman spaces. The minimum uncer…
Change of variable and discrete Hardy inequality
Yi C. Huang
For absolutely convergent series we state explicitly a one-sided summation estimate that can be viewed as the discrete analogue of the change of variable formula on the half line.…
The forward maximal regularity operator commutes with the backward
Yi C. Huang
Given a generator of a bounded analytic semigroup on a Hilbert space, we show that the corresponding forward maximal regularity operator commutes with the backward. In particular,…
On the bilinear estimate of Ozawa and Rogers for the one-dimensional Klein-Gordon equation and some related lower Jacobian estimates
Shirong Chen, Yi C. Huang, Shaozhen Xu
We give a natural convexity proof of an elementary inequality used by Ozawa and Rogers in proving their bilinear estimate for the one-dimensional Klein-Gordon equation. This robust…
Evans-Lewis inequalities in dimension three
Yi C. Huang, Li Liu
In proving Rellich inequalities in the framework of equalities, N. Bez, S. Machihara, and T. Ozawa obtained some interesting norm inequalities in the spirit of Evans and Lewis that…
On eigenvalue inequalities of Schmuckenschlager
Yi C. Huang
About ten years ago, Schmuckenschläger proved that the lowest eigenvalue of Dirichlet Laplacian for the intersection of two balls (i.e., convex, symmetric and compact subsets of $\…
Rellich Inequality via Radial Dissipativity
Yi C. Huang
We give a conceptually simple and essentially one-dimensional approach to Rellich inequality in Euclidean space . In particular, we show that the radial part and the…
On plurisubharmonic Gaussian correlation of Barthe and Cordero-Erausquin
Yi C. Huang
We simplify the proof of a Gaussian correlation inequality for plurisubharmonic functions found by Barthe and Cordero-Erausquin. The new observation is a second-order integration-b…
Rellich type inequalities on the half line in the framework of equalities
Yi C. Huang, Fuping Shi
We establish in this paper some weighted Hardy and Rellich type inequalities on the half line in the framework of equalities, extending recent results proved by Machihara-Ozawa-Wad…