Morrey Spaces for Non–doubling Measures
By Yoshihiro Sawano, Hitoshi Tanaka. 2005
229 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1fa84ab96633821044bc3f9d3a6c7d433a1dcfbf
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Yoshihiro Sawano
- S. Samko
- Kwok-Pun Ho
- V. Kokilashvili
- Shohei Nakamura
- A. Meskhi
- Takahiro Noi
- Natasha Samko
In Mathematical Physics
- Yoshihiro Sawano
- S. Samko
- V. Kokilashvili
- Kwok-Pun Ho
- Shohei Nakamura
- A. Meskhi
- Takahiro Noi
- Natasha Samko
Citations in the corpus
- Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure (2010, unknown): “fractional kernel of order if (a) jk ðx, yÞj C jx yj , x 61⁄4 y; (b) jk ðx, yÞ k ðx0, yÞj jx x 0j" jx yj þ" , jx yj 2jx 0 xj: For k , let K f ðxÞ 1⁄4 Z k ðx, yÞ f ð yÞd ð yÞ, x2 : For example, the kernel k (x, y)1⁄4 jx yj satisfies (a) and (b) for " 1 (see, [4,18] for the details).”
- Vector-valued singular integral operators on Morrey type spaces and variable Triebel-Lizorkin-Morrey spaces (2012, result): “It is inspired by the results in [56, Theorems 1 and 2] and some similar results are obtained in [65].”
- Calderón–Zygmund operators in Morrey spaces (2014, unknown): “We refer in particular to [8,10,11,13–15,17,19,20,28,30–32,36].”
- Morrey-Campanato Spaces: an Overview (2013, methodology): “Tanaka [95] (2005) introduced Morrey spaces in R, but with a Radon measure μ as follows”
- A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces (2012, unknown): “and L(Rn) satisfies (L1) through (L6) and (L8) (see [79, 89]).”
- Boundedness of Maximal and Singular Operators in Morrey Spaces with Variable Exponent (2008, background): “For the boundedness of maximal and singular integrals in the spaces M q we refer to [4], [11], [3], [30].”
- SHARP MAXIMAL INEQUALITIES AND COMMUTATORS ON MORREY SPACES WITH NON-DOUBLING MEASURES (2007, unknown): “The authors also defined a Morrey space for non-doubling measures [13].”
- Generalized Morrey spaces and trace operator (2016, methodology): “Based on the Morrey space defined in [59], Sawano and Tanaka considered Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces in R equipped with a Radon measure satisfying (7.”
- Compactness of Commutators for Singular Integrals on Morrey Spaces (2012, background): “(See also [38,40,41] for the theory of Morrey spaces with non-doubling measures.”