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Weighted boundedness of Toeplitz type operators related to singular integral operators with non-smooth kernel

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Zhou X., Liu L.

Colloquium Mathematicum

2013

tom 133

nr 2

253-271

Some weighted sharp maximal function inequalities for the Toeplitz type operator $T_b = ∑_{k= 1}^{m} T^{k,1}M_bT^{k,2}$ are established, where $T^{k,1}$ are a fixed singular integral operator with non-smooth kernel or ±I (the identity operator), $T^{k,2}$ are linear operators defined on the space of locally integrable functions, k = 1,..., m, and $M_b(f) = bf$. The weighted boundedness of $T_b$ on Morrey spaces is obtained by using sharp maximal function inequalities.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Liu L.

1 Zhou X.

1 2013

Wyniki wyszukiwania

Weighted boundedness of Toeplitz type operators related to singular integral operators with non-smooth kernel