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Recent Advances in Harmonic Analysis, Operator Theory and Nonlinear Equations

This Thematic series is devoted to publishing the latest and significant results in harmonic analysis, operator theory and nonlinear equations. Its goals are to stimulate further research and to highlight recent advances in these fields, as well as to promote, encourage and bring together researchers in the fields of harmonic analysis, operator theory and nonlinear equations.

Edited by: Prof Shusen Ding, Dr Peilin Shi, Prof Yong Wang, Prof Yuming Xing

  1. The perturbed system of exponents with a piecewise linear phase, consisting of eigenfunctions of a discontinuous differential operator, is considered in this work. Under certain conditions on the weight functi...

    Authors: Tofig Najafov, Natavan Nasibova and Zahira Mamedova

    Citation: Journal of Inequalities and Applications 2016 2016:92

    Content type: Research

    Published on:

  2. An operator connection is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, and the transformer inequality. A normalized operator connection is call...

    Authors: Pattrawut Chansangiam

    Citation: Journal of Inequalities and Applications 2015 2015:411

    Content type: Research

    Published on:

  3. In this paper, we establish some new estimates for commutators of Hausdorff operators on homogeneous Herz and Morrey-Herz spaces, which extend some previous results.

    Authors: Jie Sun and Xianliang Shi

    Citation: Journal of Inequalities and Applications 2015 2015:409

    Content type: Research

    Published on:

  4. In this paper, a generalization of Diaz-Margolis’s fixed point theorem is established. As applications of the generalized Diaz-Margolis’s fixed point theorem, we present some existence theorems of the Hyers-Ul...

    Authors: Wei-Shih Du

    Citation: Journal of Inequalities and Applications 2015 2015:407

    Content type: Research

    Published on: