Results 11 to 20 of about 1,940 (138)

Strengthened inequalities for the mean width and the ℓ‐norm

Journal of the London Mathematical Society, Volume 104, Issue 1, Page 233-268, July 2021., 2021
Abstract Barthe proved that the regular simplex maximizes the mean width of convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the body) is the Euclidean unit ball; or equivalently, the regular simplex maximizes the ℓ‐norm of convex bodies whose Löwner ellipsoid (minimal volume ellipsoid containing the body) is the Euclidean unit
Károly J. Böröczky, Ferenc Fodor, Daniel Hug   +2 more
wiley   +1 more source

From Hardy to Rellich inequalities on graphs

Proceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021
Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski   +2 more
wiley   +1 more source

Besov's Type Embedding Theorem for Bilateral Grand Lebesgue Spaces [PDF]

, 2010
In this paper we obtain the non-asymptotic norm estimations of Besov's type between the norms of a functions in different Bilateral Grand Lebesgue spaces (BGLS).
Ostrovsky, E., Sirota, L.
core   +3 more sources

Regularity estimates for fractional orthotropic p-Laplacians of mixed order

Advances in Nonlinear Analysis, 2022
We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
doaj   +1 more source

A note on weighted bounds for rough singular integrals [PDF]

, 2017
We show that the $L^2(w)$ operator norm of the composition $M\!\circ T_{\Omega}$, where $M$ is the maximal operator and $T_{\Omega}$ is a rough homogeneous singular integral with angular part $\Omega\in L^{\infty}(S^{n-1})$, depends quadratically on $[w ...
Lerner, Andrei K.
core   +3 more sources

Improved quality of life in patients with refractory or recidivant ascites after insertion of transjugular intrahepatic portosystemic shunts [PDF]

, 2002
Background. We have recently shown that the transjugular intrahepatic portosystemic shunt (TIPS) is more effective than paracentesis in the treatment of cirrhotic patients with severe ascites and can prolong survival in selected patients.
Bilzer, M., Gerbes, Alexander L., Gülberg, Veit, Liss, I., Reiser, Maximilian F., Waggershauser, T.   +5 more
core   +1 more source

Non-existence of multi-line Besicovitch sets [PDF]

, 2013
If a compact set K \subset R^2 contains a positive-dimensional family of line-segments in positively many directions, then K has positive measure.Comment: 7 pages.
Orponen, Tuomas
core   +3 more sources

Area Integral Characterization of Hardy space H1L related to Degenerate Schrödinger Operators

Advances in Nonlinear Analysis, 2019
Let
Huang Jizheng, Li Pengtao, Liu Yu
doaj   +1 more source

Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents

Open Mathematics, 2021
If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents.
Wang Shengrong, Xu Jingshi
doaj   +1 more source