Hörmander’s condition and a convolution operator generalizing Riesz potentials
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- by Jong-Guk Bak PDF
- Proc. Amer. Math. Soc. 120 (1994), 647-649 Request permission
Abstract:
Under certain hypotheses including a Hörmander-type condition on the convolution kernel $K$ we show that $K{\ast }f$ belongs to the space $\operatorname {BMO} ({{\mathbf {R}}^n})$ whenever $f$ belongs to the space ${L^{p,\infty }}({{\mathbf {R}}^n})$ (weak ${L^p}$) for certain $p$.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 647-649
- MSC: Primary 42B20; Secondary 47B35
- DOI: https://doi.org/10.1090/S0002-9939-1994-1195475-4
- MathSciNet review: 1195475