Author Wojtkowiak, ZdzisÃlaw|
Published Date 2005-01
Publication Title Mathematical Journal of Okayama University
Volume volume47
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33597
Author Jianwei, Zhou|
Published Date 2006-01
Publication Title Mathematical Journal of Okayama University
Volume volume48
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33363
Author Yokotani, Masaaki|
Published Date 1992-01
Publication Title Mathematical Journal of Okayama University
Volume volume34
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33165
Author Prada, Petre| Pogan, Alin| Preda, Ciprian|
Published Date 2004-01
Publication Title Mathematical Journal of Okayama University
Volume volume46
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33930
Author Spearman, Blair K.| Williams, Kenneth S.|
Published Date 2006-01
Publication Title Mathematical Journal of Okayama University
Volume volume48
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33362
Author Kutami, Mamoru| Inoue, Ichiro|
Published Date 1993-01
Publication Title Mathematical Journal of Okayama University
Volume volume35
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33473
Author Kutami, Mamoru|
Published Date 1996-01
Publication Title Mathematical Journal of Okayama University
Volume volume38
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33101
Author Nishimura, Yasuzo| Yosimura, Zen-ichi|
Published Date 1998-01
Publication Title Mathematical Journal of Okayama University
Volume volume40
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33678
Author Yosimura, Zen-Ichi|
Published Date 1993-01
Publication Title Mathematical Journal of Okayama University
Volume volume35
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33479
Author Barros, Tomas Edson| Rigas, Alcibiades|
Published Date 2001-01
Publication Title Mathematical Journal of Okayama University
Volume volume43
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33251
Author Mukai, Juno|
Published Date 1982-12
Publication Title Mathematical Journal of Okayama University
Volume volume24
Issue issue2
Content Type Journal Article
JaLCDOI 10.18926/mjou/33980
Author Kishi, Yasuhiro|
Published Date 2005-01
Publication Title Mathematical Journal of Okayama University
Volume volume47
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33603
Author Hikida, Mizuho|
Published Date 1997-01
Publication Title Mathematical Journal of Okayama University
Volume volume39
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33587
Author Nakajima, Masumi|
Published Date 1987-01
Publication Title Mathematical Journal of Okayama University
Volume volume29
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33278
Author Miljojkovic, Gradimir|
Published Date 1997-01
Publication Title Mathematical Journal of Okayama University
Volume volume39
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33578
Author Salim, Mohamed A.M.| Sandling, Robert|
Published Date 1995-01
Publication Title Mathematical Journal of Okayama University
Volume volume37
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33786
Author Singh, Y. P.|
Published Date 1971-12
Publication Title Mathematical Journal of Okayama University
Volume volume15
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33542
FullText URL mjou_064_031_045.pdf
Author Yamagishi, Hiroyuki|
Abstract We have the best constants of three kinds of discrete Sobolev inequalities on the complete bipartite graph with 2N vertices, that is, K<sub>N</sub>,<sub>N</sub>. We introduce a discrete Laplacian A on K<sub>N</sub>,<sub>N</sub>. A is a 2N ×2N real symmetric positive-semidefinite matrix whose eigenvector corresponding to zero eigenvalue is 1 = <sup>t</sup>(1, 1, … , 1)&isin; C<sup>2N</sup>. A discrete heat kernel, a Green’s matrix and a pseudo Green’s matrix play important roles in giving the best constants.
Keywords Discrete Sobolev inequality Discrete Laplacian Green’s matrix Reproducing relation
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 31
End Page 45
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language 英語
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
Author Komatsu, Hiroaki|
Published Date 1986-01
Publication Title Mathematical Journal of Okayama University
Volume volume28
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33950
Author Abe, Koji|
Published Date 1986-01
Publication Title Mathematical Journal of Okayama University
Volume volume28
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33931