Norms of the composition of the maximal and projection operators |
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Authors: | Yuming Xing Shusen Ding |
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Affiliation: | a Department of Mathematics, Harbin Institute of Technology, Harbin, China b Department of Mathematics, Seattle University, Seattle, WA 98122, USA |
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Abstract: | In this paper, we develop different norm estimates for the compositions of the maximal and projection operators, applied to the solutions of a nonlinear elliptic partial differential equation. As applications, we also obtain some estimates related to the Jacobian and exponents of mappings. |
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Keywords: | primary, 35B45 secondary, 26B10, 31B10, 31C45, 46E35 |
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