Boundedness of commutators of fractional integral operators on mixed Morrey spaces

By T. Nogayama. Integral transforms and special functions, 2019

50 citations recorded by the source corpus.

ABSTRACT In this paper, we give the necessary and sufficient conditions for the boundedness of commutators of fractional integral operators on mixed Morrey spaces. We construct the predual spaces of mixed Morrey spaces. Furthermore, we show the sharp maximal inequality of the mixed Morrey norm. This inequality is one of the key inequalities of the main theorem.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/5c1434fefd42823ed6f34c51dd2a92e18b525cbd

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In Applied Mathematics

1. Long Huang
2. Dachun Yang
3. Wen Yuan
4. Yuan Zhou
5. Luong Dang Ky
6. Yangyang Zhang
7. Pekka Koskela
8. Songbai Wang

Citations in the corpus

• On Function Spaces with Mixed Norms — A Survey (2019, methodology): “To this end, we first recall the notion and some examples of mixed Morrey spaces Mp ~q (R n) from Nogayama [67] and then we further show some basic properties about these spaces, including the completeness as well as the embedding theorem, obtained in the same aforementioned article.”