A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces
By Yoshihiro Sawano, Satoko Sugano, Hitoshi Tanaka. 2009
55 citations recorded by the source corpus.
We show some inequalities for generalized fractional integral operators on generalized Morrey spaces. We also show the boundedness property of the generalized fractional integral operators on the predual of the generalized Morrey spaces.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/83d1cd1dfa3bef5bc130b4b06330627ff583dac1
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In Applied Mathematics
- Yoshihiro Sawano
- Hitoshi Tanaka
- Satoko Sugano
- Dachun Yang
- Shohei Nakamura
- Wen Yuan
- Kwok-Pun Ho
- Takahiro Noi
Citations in the corpus
- Weighted Hardy and potential operators in the generalized Morrey spaces (2011, unknown): “On a non-weighted p → q-boundedness of potential operators in the generalized Morrey spaces Potential operators in the non-weighed setting were studied in [12,14,15,17,23,28,40].”
- 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].”
- Orlicz–Morrey Spaces and Fractional Operators (2012, result): “In our previous papers [16] and [17] we have assumed that ρ satisfies 1 C ≤ ρ(s) ρ(t) ≤ C, if 1 2 ≤ s t ≤ 2.”