CiNii

Kannonzaki nature museum

Guan Qi'an

… <p>In this article, we obtain a strict inequality between the conjugate Hardy 𝐻<sup>2</sup> …

Journal of the Mathematical Society of Japan 71(4), 1173-1179, 2019

J-STAGE

Nguyen Duy Tuan , Lam-Hoang Nguyen , Nguyen Triet Anh

… <p>We prove several identities on homogeneous groups that imply the Hardy and Rellich inequalities for Bessel pairs. … These equalities give a straightforward understanding of some of the Hardy and Rellich inequalities as well as the absence of nontrivial optimizers and the existence/nonexistence of "virtual"extremizers.</p> …

Journal of the Mathematical Society of Japan 71(4), 1243-1256, 2019

Miura Yusuke

… We probabilistically prove that the existence of superharmonic functions gives rise to the Hardy inequality. … More precisely, the 𝐿<sup>2</sup>-Hardy inequality is derived from Itô's formula applied to the superharmonic function.</p> …

Journal of the Mathematical Society of Japan 71(3), 689-708, 2019

Carlen Eric A. , Lieb Elliott H.

… The well known duality between the Sobolev inequality and the Hardy-Littlewood-Sobolev inequality suggests that the Nash inequality should also have an interesting dual form. … This dual inequality relates the L^{2} norm to the infimal convolution of the L^{infty} and H^{-1} norms. …

数理解析研究所講究録 (2074), 63-67, 2018-07

IR

Sano Megumi , Takahashi Futoshi

… In this paper, we show a weighted Hardy inequality in a limiting case for functions in weighted Sobolev spaces with respect to an invariant measure. … We also prove that the constant in the left-hand side of the inequality is optimal. …

Applicable Analysis : an international journal 98(10), 1875-1888, 2018-05-28

Bez Neal , Jeavons Chris , Ozawa Tohru , Sugimoto Mitsuru

… We also obtain stability for the trace theorem into L^q for q>2, by combining a refined Hardy–Littlewood–Sobolev inequality on the sphere with a duality–stability result proved very recently by Carlen. …

The Journal of Geometric Analysis 28(2), 1456-1476, 2018-04

Nikolidakis Eleftherios N.

… <p>We prove a sharp integral inequality valid for non-negative functions defined on [0, 1], with given 𝐿<sup>1</sup> … This is in fact a generalization of the well known integral Hardy inequality. … We prove it as a consequence of the respective weighted discrete analogue inequality whose proof is presented in this paper. …

Journal of the Mathematical Society of Japan 70(1), 141-152, 2018

Charão Ruy Coimbra , Ikehata Ryo

… In order to apply that idea due to [7] to the one dimensional exterior mixed problem, one also constructs an important Hardy-Sobolev type inequality, which holds only in the 1-D half line case. …

Funkcialaj Ekvacioj 60(2), 239-257, 2017

Rabier Patrick J.

… ∞ and that, in this perspective, inequalities of Hardy, Sobolev or Morrey type account for the fact that sub |<i>x</i>|<sup>−<i>N/p</i></sup> … in a <i>p</i>-dependent range of values, a family of higher order Hardy/Sobolev/Morrey type inequalities is obtained, under optimal integrability assumptions.</p><p>These optimal inequalities take the form of estimates for ∇<sup><i>k−j</i></sup>(<i>u</i> …

Journal of the Mathematical Society of Japan 69(1), 127-151, 2017

HO Kwok-Pun

Proceedings of the Japan Academy. Series. A, Mathematical sciences 92(10), 125-130, 2016-12

Tanaka Hitoshi

… Two-weight Morrey norm inequalities for the Hardy-Littlewood maximal operators are characterized in terms of the sequential testing. …

数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu (B60), 157-176, 2016-12

Ioku Norisuke

数理解析研究所講究録 (2006), 12-19, 2016-11

CHIBA Naoki , HORIUCHI Toshio

Proceedings of the Japan Academy. Ser. A, Mathematical Sciences 92(4), 51-55, 2016-04

Dafni Galia , Mombourquette Ethan , Yue Hong

… In this paper we generalize some results on the local bmo and Hardy space h^{1}, shown in [18] for doubling metric-measure spaces, to the setting of spaces of homogeneous type. …

RIMS Kokyuroku Bessatsu (B56), 187-215, 2016-04

Komori-Furuya Yasuo

This article is organized in the following way. In Section 1 we state a brief history of multilinear operators, in particular the bilinear Hilbert transform and bilinear fractional integral operator. …

RIMS Kokyuroku Bessatsu (B56), 43-49, 2016-04

Shi Yehao , Li Zhongkai

… The purpose of the paper is to study coefficient multipliers of the Hardy space <i>H</i><sup>1</sup>([0,∞)) associated with Laguerre expansions. … As a consequence, a Paley type inequality is obtained. …

Journal of the Mathematical Society of Japan 68(2), 797-805, 2016

Horiuchi Toshio

SUGAKU 68(1), 1-23, 2016

Luiro Hannes , Vähäkangas Antti V.

… As an application, we characterize the fractional (<i>s,p</i>)-Hardy inequality on a bounded open set by a Maz'ya-type testing condition localized to Whitney cubes.</p> …

Journal of the Mathematical Society of Japan 68(3), 1357-1368, 2016

Suzuki Toshiyuki

… Thus we identify the energy space by applying generalized Hardy-Rellich inequalities. …

Funkcialaj Ekvacioj 59(1), 1-34, 2016

… The purpose of the paper is to study coefficient multipliers of the Hardy spaces <i>H</i><sup><i>p</i></sup>([0,∞)) (0 < … As a consequence, a Paley type inequality is obtained. …

Journal of the Mathematical Society of Japan 68(1), 91-99, 2016