Fractional order derivative characterizations of Besov-Morrey type spaces with applications

2025/05/27 by Lu Chen, Lu, Chen, Mingjin Li +3
Mathematics · #32K15 #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Primary 32A37 #Second 32M10

paper · pdf · doi:10.48550/arxiv.2505.20709

openalex publication_date 2025/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

On the one hand, the fractional order derivative characterization of the Besov-Morrey type space B_p^K(s) is established by K-Carleson measures, and it was also shown that f ∈ B_p^K(s₁) ⇔ f^{((s₂ - s₁)/(p))} ∈ B_p^K(s₂), which extended the results of Sun et al. on the fractional derivative of Morrey type space. On the other hand, some sufficient conditions for the growth of solutions to linear complex differential equations have been obtained by using nth derivative criterion.

Citations

• Several function-theoretic characterizations of Möbius invariant Q K spaces

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