• 検索結果がありません。

ONINEQUALITIESOFHARDY–SOBOLEVTYPE B J M A BanachJ.Math.Anal.2(2008),no.2,94–106

N/A
N/A
Info
ダウンロード
Protected

Academic year: 2022

シェア "ONINEQUALITIESOFHARDY–SOBOLEVTYPE B J M A BanachJ.Math.Anal.2(2008),no.2,94–106"

Copied!
1
0
0

読み込み中.... (全文を見る)

今ダウンロードする ( 1 ページ )

全文

(1)

Banach J. Math. Anal. 2 (2008), no. 2, 94–106

B

anach

J

ournal of

M

athematical

A

nalysis ISSN: 1735-8787 (electronic)

http://www.math-analysis.org

ON INEQUALITIES OF HARDY–SOBOLEV TYPE

A. BALINSKY1, W. D. EVANS2∗, D. HUNDERTMARK3AND R. T. LEWIS4 This paper is dedicated to Professor Josip E. Peˇcari´c

Submitted by T. Riedel

Abstract. Hardy–Sobolev–type inequalities associated with the operatorL:=

x· ∇ are established, using an improvement to the Sobolev embedding theo- rem obtained by M. Ledoux. The analysis involves the determination of the operator semigroup{e−tL∗L}t>0.

1,2 School of Mathematics, Cardiff University, 23 Senghennydd Road, Cardiff CF24 4AG, UK.

E-mail address: [email protected] , [email protected]

3 Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801, USA.

E-mail address: [email protected]

4 Department of Mathematics, University of Alabama at Birmingham, Birm- ingham, AL 35294-1170, USA.

E-mail address: [email protected]

Date: Received: 11 April; Accepted: 20 June 2008.

∗ Corresponding author.

2000Mathematics Subject Classification. Primary 46E35; Secondary 35K05.

Key words and phrases. Hardy’s inequality, Sobolev’s inequality, heat semigroup, Ledoux’s inequality.

94

参照

今ダウンロードする ( PDF - 1 ページ - 153.18 KB )

関連したドキュメント

On Restricted Wythoff's Nim

Department of Mathematical Sciences, Graduate School of Science and Technology, Tokushima University, Minamijosanjima-cho 2-1, Tokushima 770-8506, JAPAN.. e-mail address

Let (R,m) be a commutative Noetherian local ring

Tehranian, Science and Research Branch Islamic Azad University, Tehran, Iran E-mail : [email protected]. Yassemi, Center of Excellence in Biomathematics School of

p <1, q >1 it is known that inequality (1.1) doesn’t hold (see [4], p.46)

2 Department of Mathematics, University of West Bohemia, Univerzitn´ı 22, 30614 Pilsen, Czech Republic.. E-mail

Hyperelliptic Plane Curves of Type (d, d − 2)

Department of Mathematics, Graduate School of Science and Engineering Saitama University, Shimo-Okubo 255, Sakura-ku, Saitama 338-8570, Japan.. e-mail:

DVIOUT-17syoze

Departments of the School of Mathematics and Physics, College of Science and Engineering, Kanazawa University, Kakuma-machi, Kanazawa, 920-1192, Japan.

On Restricted Wythoff’s Nim

Department of Mathematical Sciences, Graduate School of Science and Technology, Tokushima University, Minamijosanjima-cho 2-1, Tokushima 770-8506, JAPAN.. e-mail

ADIABATIC LIMITS, THETA FUNCTIONS, AND GEOMETRIC QUANTIZATION : ANNOUNCEMENT (Geometry, Algebra and Combinatorics in Transformation group theory)

DEPARTMENT OF MATHEMATICS, SCHOOL OF SCIENCE AND TECHNOLOGY, MEIJI UNIVERSITY, 1‐1‐1 HIGASHIMITA, TAMA‐KU, KAWASAKI, 214‐8571, JAPAN..

An example of an $m$-isometry (Research on structures of operators via methods in geometry and probability theory)

Department of Mathematics, Faculty of Science, Kanagawa University, Yokohama 221-8686, Japan. $E$