The Campanato, Morrey and Hlder spaces on spaces of homogeneous type
By E. Nakai. 2006
154 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ab9d76ed0715ca786a0d174194a51380cd917805
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- Weighted Hardy and singular operators in Morrey spaces (2008, background): “Morrey spaces on metric measure spaces were studied in [5], [34], [48].”
- A generalization of Hardy spaces Hp by using atoms (2008, background): “5 in [9]).”
- FUNCTION SPACES WITH VARIABLE EXPONENTS – AN INTRODUCTION – (2014, unknown): “The generalized fractional integral operators Iρ with ρ : (0,∞) → (0,∞) are studied in [144, 145, 146, 149, 206, 207] and the spaces L(R) with constant p and φ : R × (0,∞) → (0,∞) are studied in [142, 147, 151, 157].”
- Triebel-Lizorkin-Type Spaces with Variable Exponents (2015, methodology): “(ii) For ϕ : Rn × (0,∞) → (0,∞) and a variable exponent p : Rn → [1,∞), Nakai [52] introduced the variable Morrey space L(p,ϕ)(Rn), which is defined to be the set of all measurable functions f such that ‖f‖L(p,ϕ)(Rn) := sup balls B⊂Rn ‖f‖p,ϕ,B ∞, where, for all balls B := B(x, r) ⊂ Rn, ϕ(B) := ϕ(x,”
- Besov-Type Spaces with Variable Smoothness and Integrability (2015, methodology): “(i) We point out that (2.4) and (2.5) are called the doubling condition and the compatibility condition, respectively, which have been used by Nakai [46, 47] and Nakai and Sawano [48] when they studied generalized Campanato spaces.”
- Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces (2010, background): “Generalized Morrey spaces of such a kind in the case of constant p were studied in [4], [13], [26], [28], [30], [31].”