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Boundedness of Riesz transforms on weighted Carleson measure spaces

100%

Lee M.-Y.

Studia Mathematica

2012

tom 209

nr 2

169-187

Let w be in the Muckenhoupt $A_{∞}$ weight class. We show that the Riesz transforms are bounded on the weighted Carleson measure space $CMO_{w}^{p}$, the dual of the weighted Hardy space $H^{p}_{w}$, 0 < p ≤ 1.

The continuity of pseudo-differential operators on weighted local Hardy spaces

51%

Lee M.-Y., Lin C.-C., Lin Y.-C.

Studia Mathematica

2010

tom 198

nr 1

69-77

We first show that a linear operator which is bounded on $L²_{w}$ with w ∈ A₁ can be extended to a bounded operator on the weighted local Hardy space $h¹_{w}$ if and only if this operator is uniformly bounded on all $h¹_{w}$-atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to $h¹_{w}$.

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2 Studia Mathematica

2 Lee M.-Y.

1 Lin C.-C.

1 Lin Y.-C.

1 2012

1 2010

Wyniki wyszukiwania

Boundedness of Riesz transforms on weighted Carleson measure spaces

The continuity of pseudo-differential operators on weighted local Hardy spaces