Pure and Applied Mathematics Journal

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Volume 8, Issue 3, June 2019

  • Two Weight Characterization of New Maximal Operators

    Hu Yunpeng, Cao Yonghui

    Issue: Volume 8, Issue 3, June 2019
    Pages: 47-53
    Received: 23 June 2019
    Accepted: 19 July 2019
    Published: 5 August 2019
    DOI: 10.11648/j.pamj.20190803.11
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    Abstract: For the last twenty years, there has been a great deal of interest in the theory of two weight. In the present paper, we investigate the two weight norm inequalities for fractional new maximal operator on the Lebesgue space. More specifically, we obtain that the sufficient and necessary conditions for strong and weak type two weight norm inequaliti... Show More
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  • A Note on the Formulas for the Drazin Inverse of the Sum of Two Matrices and Its Applications

    Xiaolan Qin, Ricai Luo

    Issue: Volume 8, Issue 3, June 2019
    Pages: 54-71
    Received: 6 July 2019
    Accepted: 10 August 2019
    Published: 30 August 2019
    DOI: 10.11648/j.pamj.20190803.12
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    Abstract: The Drazin inverse has applications in a number of areas such as control theory, Markov chains, singular differential and difference equations, and iterative methods in numerical linear algebra. The study on representations for the Drazin inverse of block matrices stems essentially from finding the general expressions for the solutions to singular ... Show More
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