BESOV-MORREY SPACES ASSOCIATED WITH NON-NEGATIVE SELF-ADJOINT OPERATORS
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Abstract
Besov spaces play an important role in the theory of functional spaces and partial differential equations. Two recent developments of this research direction are linking Besov spaces with Morrey spaces or non-negative self-adjoint operators. The results in this paper will generalize both approaches. We proved regularity for the fractional equation.
To do that, we established a continuous characterization for the Besov-Morrey spaces associating with non – negative self – adjoint operators L in such that the heat kernel of L satisfies the Gaussian upper bounds, where . Our results generalize the existing results by Bui et al. (2020) and Dao et al. (2018).
Keywords
Besov-Morrey space, continuous characterizations, Gaussian upper bound, regularity
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References
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