On slice hyperholomorphic fractional Hardy spaces
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DOI: 10.1002/mana.201700011
Abstract: In this paper we introduce and study the fractional Hardy spaces of the half space and of the unit ball in the quaternionic setting. In particular, we discuss their properties of invariance and of factorization… read more here.
Keywords: space; fractional hardy; slice hyperholomorphic; hardy spaces ... See more keywords
Composition Operators on Generalized Fock Spaces of Slice Hyperholomorphic Functions
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DOI: 10.1007/s00006-020-1041-5
Abstract: In this paper, we study composition operators on generalized Fock spaces of slice hyperholomorphic functions. More precisely, some relationship for composition operators between the slice hyperholomorphic setting and the classical setting is explored to characterize… read more here.
Keywords: operators generalized; generalized fock; slice hyperholomorphic; fock spaces ... See more keywords
The Cauchy transform in the slice hyperholomorphic setting and related topics
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DOI: 10.1016/j.geomphys.2018.12.007
Abstract: Abstract In this paper we study the additive splitting associated to the quaternionic Cauchy transform defined by the Cauchy formula of slice hyperholomorphic functions. Moreover, we introduce and study the analogue of the fundamental solution… read more here.
Keywords: slice; setting related; hyperholomorphic setting; slice hyperholomorphic ... See more keywords