Necessary and sufficient conditions for boundedness of commutators of fractional integral operators on classical Morrey spaces

By S. Shirai. 2006

58 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/375edaa4b9d11c3b0c687438626cec59a3b2963e

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

1. T. Nogayama
2. Natasha Samko
3. Pu Zhang
4. S. Samko
5. Dachun Yang
6. Long Huang
7. Yoshihiro Sawano
8. Lars-Erik Persson

In Mathematical Physics

1. T. Nogayama
2. Natasha Samko
3. Pu Zhang
4. S. Samko
5. Lars-Erik Persson
6. V. Kokilashvili

Citations in the corpus

• Weighted Hardy operators in the local generalized vanishing Morrey spaces (2012, unknown): “to papers [1–4,6,19,21,22,30–32], see also references therein.”
• Commutators of Hardy operators in vanishing Morrey spaces (2012, unknown): “to papers [1, 2, 3, 6, 7, 17, 18, 22, 23, 31], see also references therein.”
• SHARP MAXIMAL INEQUALITIES AND COMMUTATORS ON MORREY SPACES WITH NON-DOUBLING MEASURES (2007, unknown): “Shirai [12] considered a commutator with b ∈ Λγ and T and proved the boundedness of [b, T ] with Lebesgue measure.”
• Boundedness of commutators of fractional integral operators on mixed Morrey spaces (2019, background): “Shirai established that the converse is true in some sence in 2006 [23].”
• Weighted Hardy and singular operators in Morrey spaces (2008, background): “1 Introduction The well known Morrey spaces L introduced in [30] in relation to the study of partial differ ential equations, and presented in various books, see [18], [26], [47], were widely investigated during last decades, including the study of classical opera tors of harmonic analysis - maximal”
• Characterization of Lipschitz spaces via commutators of the Hardy–Littlewood maximal function (2016, background): “…of the fractional integral I α in classical Morrey spaces. note that the fractional maximal function enjoys the same boundedness as that of the fractional integral since the pointwise inequality M α ( f )( x ) ≤ I α ( | f | )( x ) These results can be summarized as follows (see also [22]).”