Abstract
This study establishes the boundedness of sublinear operators on block spaces built on Banach function spaces. These results are used to study the boundedness of the Marcinkiewicz integrals, singular integral operators and fractional integral operators with homogeneous kernels on block-type spaces. Copyright © 2020 Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.
Original language | English |
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Pages (from-to) | 1107-1124 |
Journal | Science China Mathematics |
Volume | 63 |
Issue number | 6 |
Early online date | 18 May 2020 |
DOIs | |
Publication status | Published - Jun 2020 |
Citation
Ho, K.-P. (2020). Sublinear operators on block-type spaces. Science China Mathematics, 63(6), 1107-1124. doi: 10.1007/s11425-018-9441-9Keywords
- Sublinear operator
- Marcinkiewicz integral
- Fractional integral operator
- Singular integral operator
- Block space
- Morrey space