Reproducing Kernels for Iterated Parabolic Operators on the Upper Half Space with Application to Polyharmonic Bergman Spaces
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DOI: 10.1007/s11785-017-0673-5
Abstract: We consider parabolic operators of fractional order and their iterates on the upper half space of the euclidean space. We deal with Hilbert spaces of solutions of those parabolic equations. We shall show, in this… read more here.
Keywords: space; reproducing kernels; parabolic operators; half space ... See more keywords
Estimates for the Polyharmonic Bergman Kernel and Their Applications
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DOI: 10.1007/s11785-018-0875-5
Abstract: We consider the space of all square integrable polyharmonic functions of degree m on the unit ball which is called the weighted m-polyharmonic Bergman space. We give an explicit orthonormal basis of the weighted true… read more here.
Keywords: true polyharmonic; space; bergman space; polyharmonic bergman ... See more keywords