Abstract
We study the adaptive decomposition of functions in the monogenic Hardy spaces \(\mathcal{H}^2\) by higher order Szegö kernels under the framework of Clifford algebra and Clifford analysis, in the context of unit ball and half space. This is a sequel and a higher-dimensional generalization of our recent study on the complex Hardy spaces.
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Wang, J., Qian, T. Approximation of monogenic functions by higher order Szegö kernels on the unit ball and half space. Sci. China Math. 57, 1785–1797 (2014). https://doi.org/10.1007/s11425-013-4710-1
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DOI: https://doi.org/10.1007/s11425-013-4710-1