Quasi-norm Equivalence of a class of Maximal Functions in Hardy space
碩士 === 國立清華大學 === 數學系所 === 105 === We study the quasi-norm equivalence of several maximal functions which serves the definition of Hardy space. We have difficulty that we can not obtain the result directly and need to introduce some auxiliary unctions first. These auxiliary functions have nicer prop...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2017
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| Online Access: | http://ndltd.ncl.edu.tw/handle/6s9s77 |
| Summary: | 碩士 === 國立清華大學 === 數學系所 === 105 === We study the quasi-norm equivalence of several maximal functions which
serves the definition of Hardy space. We have difficulty that we can not
obtain the result directly and need to introduce some auxiliary unctions first. These auxiliary functions have nicer properties than original maximal functions and play the role to make connections between original maximal functions. By the help of auxiliary functions, we can obtain the equivalence of original maximal functions.
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