SCMJ Biocomp Net SCMJ

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1 No.81/ F SCMJ Vol. 73 Vol.74 SCMJ(Vol. 73, 74)Vol Vol SCMJ Net 1

2 SCMJ Biocomp Net SCMJ , merit

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5 (1) 2009/12 Orlicz Orlicz Maligranda Luxemburg Luxemburg- Nakano Orlicz Hudzik 2003 Krasnosel skii and Rutickii (1961) N- N Nakano N Maligranda Orlicz Maligranda Orlicz 1 Lebesgue 1 Young Orlicz 2 Orlicz Orlicz 1 2 Orlicz Luxemburg-Nakano Orlicz Lebesgue L p Orlicz 2 4 Calderón-Zygmund Hardy Orlicz Hardy-Littlewood Hardy-Littlewood 4.2 Orlicz Hardy-Littlewood Fourier 1 Orlicz L Φ Young Φ Young Orlicz Luxemburg-Nakano Banach 2 Lebesgue L p Orlicz L p Hölder Orlicz Luxemburg-Nakano Orlicz Orlicz Orlicz 5

6 M Φ L p Young Orlicz M Φ (Φ, Ψ) (Φ, Ψ) (Φ, Ψ) 4 Hardy-Littlewood Hardy-Littlewood Riesz Orlicz Calderón-Zygmund 5 Orlicz Hardy A p 6 Orlicz 2 Fourier Mathematica Japonica W. Orlicz 1996 W. Orlicz L. Maligranda ( ) W. Orlicz Mathematica Japonica W. Orlicz Orlicz Maligranda /3/19 6

7 (2) 1 2 ([2]) ([11]) 15 S

8 1 A A A 3 CT 1 4 1) 2) 3) 3 A A B B ( 8

9 ) ( 41: ) ,1 0 2,3,4 1 2,3, π π 1 ([10]) π 0,1; 1 π 2 ([9]) () 2 2 operator adjoint operator duality principles a 2 + b 2 = c L 2 9

10 L 2 () () = ()i a, b i a + bi = i (i ) 1 1 = i ( ([8])) 0,1 1π i 10

11 e e πi = 1 e = e ( 0,1 1 i π e π e ) (; e πi ) 1π i e e e e π π e ([4, 6]) ( ) ([9]) : ( 32: ) (e ix = cos x + i sin x) x x

12 cos i 0,1 1πie e πi = 1 E = mc ( ) ([5])CT 5 12

13 6 : 9(2007/9/1): : 2 8 M π =1 M ([9]) 8 () 7 : ( 12 (2007/09/17): )([9]) 13

14 8 ( 36 (2010/05/14): )( ([12]) ) 9 1 : f f/(1 f) 2 ([13]) 1 ([1, 3]) A 1997 ([7]) 14 2 ([14]) 14

15 10 : ( : :00?: p 7 1 p 1 p p 29 ) L. P. 7 7 [1] D. T. Duc and N. V. Nhan, Generalize some norm inequalities of Saitoh Kodai Math. J. 34 (2011), no. 2, [2] [3] N. V. Nhan, D. T. Duc and V. K. Tuan, Weighted norm inequalities for a nonlinear transform Comput. Math. Appl. 61 (2011), no. 4, [4] E. (), () e (1999). [5] E. (), Eli Maor (), ()4000 (2008). [6] J. (), Paul J. Nahin (), (). (2008). [7] S. Saitoh, Integral Transforms, Reproducing Kernels and their Applications, Pitman Research Notes in Mathematics Series 369, Addison Wesley Longman, UK, [8] S. Saitoh Generalizations of the triangle inequality JIPAM. J. Inequal. Pure Appl. Math. 4 (2003), no. 3, Article 62, 5 pp. [9] [10] (), ()π π (2007). [11] T. M. Rassias, Editor, Nonlinear Mathematical Analysis and Applications, Hadronic- Press,Palm Harbor,FL ,USA:ISBN X,1998, pp : Nonlinear transforms and analyticity of functions, Saburou Saitoh. [12] T. Tada and S. Saitoh, A method by separation of variables for the second order ordinary differential equations Int. J. Math. Sci. 3 (2004), no. 2, [13] A. Yamada, Saitoh s inequality and Opial s inequality, Math. Inequal. Appl. 14 (2011), no. 3, [14] M. Yamada and S. Saitoh, Identifications of non-linear systems, J. Comput. Math. Optim. 4 (2008), no. 1,

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17 Application form for an individual member of ISMS First &Middle Family Name Name Check one of the following addresses to which Notices from the ISMS should be sent. Address of your institution (university) Home address Special fields* address Membership category** (Circle one) Check the facilities your institution has. f-1 f-2 f-3 f-4 f-5 f-6 f-7 f-8 f-9 f-10 f-11 f-12 f-13 f-14 Tel. Fax A1, A3, SA1, SA3, F1, F3, SF1, SF3, D1, D3, SD1, SD3, AL, FL, DL Conference room(s) for video conference Computer center Communication system of your institution ISDN IP Is your institution (university) an Institutional Member of ISMS? Yes No I subscribe to the printed version of SCMJ. 3,000 (US$37, 27) per year for those members of A1, SA1, F1, and SF1, D1 and SD1. 2,700 (US$34. 25) per year for those members of A3, SA3, F3, SF3, D3, SD3, AL, FL, and DL. In case A3, SA3, F3, SF3, D3, SD3, AL, FL, or DL members make the payment at a time in advance, the price for 3 years is 8,000 (US$100, 73). For the aged member, write your birth year. Date of Application For the student member, student registration certificate should be attached. I wish to enroll as a member of ISMS and will pay to International Society for Mathematical Sciences the annual dues upon presentation of an invoice. Copies of Scientiae Mathematicae Japonicae received as an ISMS member will be for my personal use only and shall not be placed in institutional, university or other libraries or organizations, nor can membership subscriptions be used for library purposes. Signature * Notices from the ISMS March 2008 p.25 **Notices from the ISMS March 2008 p.28 17

18 ISMS (JAMS ) ISMS ISMS 60 Mathematica Japonica (M.J.) Journal Paper Scientiae Mathematicae (SCM) 21 MJ/SCM New Series, Scientiae Mathematicae Japonicae (SCMJ) )) 1) Editorial Board ) research group 3) Editor referee 4) original paper survey 5) SCMJ expository paper International Plaza 6) accept () 7) 100 (US$ 1) 8) Mathematical Reviews, Zentralblatt from cover to cover review ISMS (1) (2)ISMS level online 45 3p Notices March p ISMS ISMS JAMS Shimizu Kunugui Kitagawa 45 2p 13 ISMS SCMJ (print out ) SCMJ print () ,000 2,700* 18,000 23,000 Print US$ 37, 27 US$ 34, 25 US$225, 164 US$288, 210 Online Free Free 3,000 2,700 18,000 23,000 Online+print US$37, 27 US$34, 25 US$225, 164 US$288, 210 * 3 8,000 (US$ 100, SCMJ 1,000 US12 Categories 2012 A 6,000 US$ 75, 55 US$ 45, 33 3 A 16,000 US$ 200, 147 US$ 120, 88 S 4,000 US$ 50, 37 US$ 30, 22 3 S 10,000 US$125, 92 US$ 74, 54 ** 60,000 US$ 750, 550 US$ 440, 323 ** 10 A S (70 ) International Society for Mathematical Sciences Tel(072) / Fax

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