NEW CONVOLUTIONS AND NORM INEQUALITIES

被引：16
作者：
Castro, L. P. [1 ]
Saitoh, S. [1 ]
机构：
[1] Univ Aveiro, Ctr R&D Math & Applicat, Dept Math, P-3810193 Aveiro, Portugal
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2012年 / 15卷 / 03期
关键词：
Integral transform; Hilbert space; linear transform; reproducing kernel; linear mapping; convolution; Toeplitz kernel; Hankel kernel; norm inequality; PLUS HANKEL-OPERATORS; SINGULAR INTEGRAL-EQUATIONS; INVERTIBILITY; SOLVABILITY; SPACES;
D O I：
10.7153/mia-15-62
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce new three types of convolutions for which - together with the classical convolution - we obtain new convolution inequalities. This is done within a framework from the theory of reproducing kernels which helps us to perform the mentioned inequalities in a very global way.
引用
收藏
页码：707 / 716
页数：10
相关论文
共 50 条
  • [21] REFINED HEINZ OPERATOR INEQUALITIES AND NORM INEQUALITIES
    Ghazanfari, A. G.
    OPERATORS AND MATRICES, 2021, 15 (01): : 239 - 252
  • [22] Weighted Norm Inequalities on Graphs
    Badr, Nadine
    Maria Martell, Jose
    JOURNAL OF GEOMETRIC ANALYSIS, 2012, 22 (04) : 1173 - 1210
  • [23] Norm and numerical radius inequalities for Hilbert space operators
    Baharak Moosavi
    Mohsen Shah Hosseini
    The Journal of Analysis, 2023, 31 : 1393 - 1400
  • [24] Some norm inequalities for accretive Hilbert space operators
    Moosavi, Baharak
    Hosseini, Mohsen Shah
    CUBO-A MATHEMATICAL JOURNAL, 2024, 26 (02): : 327 - 340
  • [25] Advances in weighted norm inequalities
    Hytonen, Tuomas
    PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL III, 2014, : 279 - 301
  • [26] Norm and numerical radius inequalities for Hilbert space operators
    Moosavi, Baharak
    Hosseini, Mohsen Shah
    JOURNAL OF ANALYSIS, 2023, 31 (02) : 1393 - 1400
  • [27] Some norm inequalities for operators
    Kapil, Yogesh
    Pal, Rajinder
    Singh, Mandeep
    Aujla, Jaspal Singh
    ADVANCES IN OPERATOR THEORY, 2020, 5 (03) : 627 - 639
  • [28] EXTENSION FORMULAS AND NORM INEQUALITIES IN SOBOLEV HILBERT SPACES
    Saitoh, Saburou
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2024, 27 (02): : 489 - 497
  • [29] Norm inequalities for convolution operators
    Nursultanov, Erlan
    Tikhonov, Sergey
    Tleukhanova, Nazerke
    COMPTES RENDUS MATHEMATIQUE, 2009, 347 (23-24) : 1385 - 1388
  • [30] On some operator norm inequalities
    Seddik, A
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 389 : 183 - 187
12345