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Abstract This paper provides a constructive proof of the weak factorization of the classical Hardy space ${{H}^{1}}({{\mathbb{R}}^{n}})$ in terms of multilinear Riesz transforms. As a direct application, we obtain a… Click to show full abstract
Abstract This paper provides a constructive proof of the weak factorization of the classical Hardy space ${{H}^{1}}({{\mathbb{R}}^{n}})$ in terms of multilinear Riesz transforms. As a direct application, we obtain a new proof of the characterization of $BMO({{\mathbb{R}}^{n}})$ (the dual of ${{H}^{1}}({{\mathbb{R}}^{n}})$ ) via commutators of the multilinear Riesz transforms.
Keywords:
multilinear riesz;
hardy space;
riesz transforms;
terms multilinear
Journal Title: Canadian Mathematical Bulletin
Year Published: 2017
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Journal Title: Canadian Mathematical Bulletin
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!