Generalized Hausdorff operators on weighted Herz spaces

Authors

  • Kuang Jichang Department of Mathematics, Hunan Normal University, Changsha, 410081 P.R.CHINA Author

Keywords:

Hausdorff operator, weighted Herz space, norm inequality

Subjects:

26D10, 47A30

Abstract

In this paper, weintroduce new generalized Hausdorff operators. They includemany famous operators as special cases. We obtain necessaryand sufficient conditions for these operators to be bounded on theweighted Herz spaces. The corresponding new operator norminequalities are obtained. They are significant improvements andgeneralizations of many known results. Several open problems areformulated.

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Published

2014-01-15

Issue

Vol. 66 No. 1 (2014): Vol. 66, Issue 1

Section

Articles

License

Copyright (c) 2014 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.