Norm Dynamic Inequalities and Theorems of Factorization of Weighted Cesaro and Copson Spaces

Donal O'Regan

doi:10.1007/s00574-019-00181-w

Norm Dynamic Inequalities and Theorems of Factorization of Weighted Cesaro and Copson Spaces

Donal O'Regan

Mathematics

Faculty of Science
Texas A&M University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we establish some factorization theorems for weighted Cesaro and Copson spaces, obtain two sided norm dynamic inequalities, and give conditions for the boundedness of the Hardy and Copson dynamic operators on the weighted space L-lambda(p)(T). We obtain, as special cases, the classical integral inequalities on R and the discrete inequalities on N.

Original language	English (Ireland)
Pages (from-to)	915-936
Number of pages	22
Journal	Bulletin Of The Brazilian Mathematical Society
Volume	51
Issue number	4
DOIs	https://doi.org/10.1007/s00574-019-00181-w
Publication status	Published - 1 Nov 2019

Keywords

Cesàro spaces
Copson spaces
Factorization
Hardy’s dynamic operator
Lebesgue spaces
Time scales

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10.1007/s00574-019-00181-w

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abstract = "In this paper, we establish some factorization theorems for weighted Cesaro and Copson spaces, obtain two sided norm dynamic inequalities, and give conditions for the boundedness of the Hardy and Copson dynamic operators on the weighted space L-lambda(p)(T). We obtain, as special cases, the classical integral inequalities on R and the discrete inequalities on N.",

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AU - O'Regan, Donal

PY - 2019/11/1

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N2 - In this paper, we establish some factorization theorems for weighted Cesaro and Copson spaces, obtain two sided norm dynamic inequalities, and give conditions for the boundedness of the Hardy and Copson dynamic operators on the weighted space L-lambda(p)(T). We obtain, as special cases, the classical integral inequalities on R and the discrete inequalities on N.

AB - In this paper, we establish some factorization theorems for weighted Cesaro and Copson spaces, obtain two sided norm dynamic inequalities, and give conditions for the boundedness of the Hardy and Copson dynamic operators on the weighted space L-lambda(p)(T). We obtain, as special cases, the classical integral inequalities on R and the discrete inequalities on N.

KW - Cesàro spaces

KW - Copson spaces

KW - Factorization

KW - Hardy’s dynamic operator

KW - Lebesgue spaces

KW - Time scales

UR - https://www.scopus.com/pages/publications/85075208361

U2 - 10.1007/s00574-019-00181-w

DO - 10.1007/s00574-019-00181-w

M3 - Article

VL - 51

SP - 915

EP - 936

JO - Bulletin Of The Brazilian Mathematical Society

JF - Bulletin Of The Brazilian Mathematical Society

IS - 4

ER -

Norm Dynamic Inequalities and Theorems of Factorization of Weighted Cesaro and Copson Spaces

Abstract

Keywords

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