CiNii Articles - weighted Hardy inequality

1

A DUAL FORM OF THE SHARP NASH INEQUALITY AND ITS WEIGHTED GENERALIZATION (Tosio Kato Centennial Conference)

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
2

Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation

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

IR
3

A Hardy inequality and applications to reverse Hölder inequalities for weights on ℝ

Nikolidakis Eleftherios N.

… We prove a sharp integral inequality valid for non-negative functions defined on [0, 1], with given 𝐿1 … 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

J-STAGE
4

Remarks on the Decay Rate of the Energy for Damped Modified Boussinesq-Beam Equations on the 1-D Half Line

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

J-STAGE
5

Lp measure of growth and higher order Hardy–Sobolev–Morrey inequalities on ℝN

Rabier Patrick J.

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

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

J-STAGE
6

Radial symmetry and its breaking in the Caffarelli-Kohn-Nirenberg type inequalities for p = 1

CHIBA Naoki , HORIUCHI Toshio

Proceedings of the Japan Academy. Ser. A, Mathematical Sciences 92(4), 51-55, 2016-04
7

On the Caffarelli–Kohn–Nirenberg type inequalities and related topics [in Japanese]

Horiuchi Toshio

SUGAKU 68(1), 1-23, 2016

J-STAGE
8

On radial symmetry and its breaking in the Caffarelli-Kohn-Nirenberg type inequalities for p = 1

Chiba Naoki , Horiuchi Toshio

The main purpose of this article is to study the Caffarelli-Kohn-Nirenberg type inequalities (1.2) with p = 1. We show that symmetry breaking of the best constants occurs provided t …

Mathematical Journal of Ibaraki University 47(0), 49-63, 2015

IR J-STAGE
9

FUNCTION SPACES WITH VARIABLE EXPONENTS – AN INTRODUCTION –

Izuki Mitsuo , Nakai Eiichi , Sawano Yoshihiro

Scientiae Mathematicae Japonicae 77(2), 187-315, 2014

J-STAGE
10

THE FRACTIONAL INTEGRAL OPERATORS RELATED TO THE ADAMS INEQUALITY ON WEIGHTED MORREY SPACES

Izumi Takashi , Komori-Furuya Yasuo , Sato Enji

… In this paper, we improve Komori-Shirai's result about the boundednessof the fractional integral operators on weighted Morrey spaces. …

Scientiae Mathematicae Japonicae 77(2), 169-175, 2014

J-STAGE
11

Weighted Hardy inequalities with infinitely many sharp missing terms

Ando Hiroshi , Horiuchi Toshio , Nakai Eiichi

… The main purpose of this article is to improve classical weighted Hardy type inequalities by adding infinitely many sharp new missing terms. …

Mathematical Journal of Ibaraki University 46(0), 9-30, 2014

IR J-STAGE
12

Multilinear version of reversed Holder inequality and its applications to multilinear Calderon-Zygmund operators

XUE Qingying , YAN Jingquan

… In this paper, we give a natural, and generalized reverse Hölder inequality, which says that if ωi … 1. As a consequence, we get a more general inequality, which can be viewed as an extension of the reverse Jensen inequality in the theory of weighted inequalities. …

Journal of the Mathematical Society of Japan 64(4), 1053-1069, 2012-10-01

J-STAGE References (13)
13

Profiles of solutions to an integral system related to the weighted Hardy-Littlewood-Sobolev inequality (Progress in Variational Problems : Variational Methods in the Study of Evolution Equations)

Onodera Michiaki

RIMS Kokyuroku (1779), 111-127, 2012-02

IR
14

The Caffarelli-Kohn-Nirenberg type inequalities involving critical and supercritical weights

HORIUCHI Toshio , KUMLIN Peter

Proceedings of the Japan Academy. Ser. A, Mathematical Sciences 88(1), 1-6, 2012-01
15

Generalized Riesz Projections and Toeplitz Operators

Nakazi Takahiko , Yamamoto Takanori

Hokkaido University Preprint Series in Mathematics (754), 1-26, 2005

IR DOI
16

Inequalities on infinite networks

Murakami Atsushi , Yamasaki Maretsugu

… We study several famous inequalities on networks such as Wirtinger's inequality, Hardy's inequality, Poincare-Sobolev's inequality and the strong isoperimetric inequality, etc. … These inequalities are closely related to the smallest eigenvalue of weighted discrete Laplacian. …

Memoirs of the Faculty of Science and Engineering Shimane University Ser. B Mathematical Science 33, 47-62, 2000-03

IR
17

Hardy's Inequality on Finite Networks

Shougenji Yukihiro , Yamasaki Maretsugu

… The smallest eigenvalue of a weighted discrete Laplacian is closely related to a generalized Hardy's inequality on networks. …

島根大学総合理工学部紀要. シリーズB (32), 75-84, 1999-03

IR
18

ON A WEIGHTED NORM INEQUALITY FOR THE HARDY-LITTLEWOOD MAXIMAL FUNCTION IN L(log^+ L)^λ + L(log^- L)^<-ε>

MIYAMOTO Takashi.

Mathematica japonicae 43(1), 161-174, 1996-01-01

References (5)
19

Riesz's Functions In Weighted Hardy And Bergman Spaces

Nakazi T. , Yamada M.

Hokkaido University Preprint Series in Mathematics (284), 1-20, 1995-03-01

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