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Multilinear analysis on metric spaces

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Grafakos L., Liu L., Maldonado D., Yang D.

Instytut Matematyczny Polskiej Akademii Nauk

The multilinear Calderón-Zygmund theory is developed in the setting of RD-spaces which are spaces of homogeneous type equipped with measures satisfying a reverse doubling condition. The multiple-weight multilinear Calderón-Zygmund theory in this context is also developed in this work. The bilinear T1-theorems for Besov and Triebel-Lizorkin spaces in the full range of exponents are among the main results obtained. Multilinear vector-valued T1 type theorems on Lebesgue spaces, Besov spaces, and Triebel-Lizorkin spaces are also proved. Applications include the boundedness of paraproducts and bilinear multiplier operators on products of Besov and Triebel-Lizorkin spaces.

Ograniczanie wyników

1 Grafakos L.

1 Liu L.

1 Maldonado D.

1 Yang D.

1 2014

Wyniki wyszukiwania

Multilinear analysis on metric spaces