Email this article On an Equivalent Norm on the Space BMO
- Authors: Vasilyev I.1, Tselishchev A.2
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Affiliations:
- St. Petersburg Department of the Steklov Mathematical Institute
- St. Petersburg State University
- Issue: Vol 234, No 3 (2018)
- Pages: 290-302
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/241859
- DOI: https://doi.org/10.1007/s10958-018-4005-8
- ID: 241859
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Abstract
We extend the inequality proved by S. V. Bochkarev to a larger class of convolution operators assuming that the Fourier transforms of the kernels of these operators satisfy certain conditions in the spirit of the Hörmander–Mikhlin multiplier theorem. Therefore, we give a new characterization of BMO.
About the authors
I. Vasilyev
St. Petersburg Department of the Steklov Mathematical Institute
Author for correspondence.
Email: milavas@mail.ru
Russian Federation, St. Petersburg
A. Tselishchev
St. Petersburg State University
Email: milavas@mail.ru
Russian Federation, St. Petersburg
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