On boundedness of the Hilbert transform on Marcinkiewicz spaces
We study boundedness properties of the classical (singular) Hilbert transform (Hf)(t) = p.v.1/π ∫R f(s)/(t − s) ds, acting on Marcinkiewicz spaces. The Hilbert transform is a linear operator which arises from the study of boundary values of the real and imaginary parts of analytic functions. Questi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Academician Ye.A. Buketov Karaganda University
2020-12-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/377 |