Xinfeng WU, Yong DING

5588

Weak Hardy space and endpoint estimates for singular integrals on space of homogeneous type

We develop the theory of weak Hardy spaces H1,\infty on space of homogeneous type. As some applications, we show that certain singular integral operators and fractional integral operators are bounded from H1,\infty to L1,\infty and L\frac{1}{1-a},\infty, respectively. We give also the endpoint estimates for Nagel and Stein's singular integrals studied in [10].

Anahtar Kelimeler:

Weak Hardy spaces, singular integral, fractional integral, endpoint estimate.

Weak Hardy space and endpoint estimates for singular integrals on space of homogeneous type

We develop the theory of weak Hardy spaces H1,\infty on space of homogeneous type. As some applications, we show that certain singular integral operators and fractional integral operators are bounded from H1,\infty to L1,\infty and L\frac{1}{1-a},\infty, respectively. We give also the endpoint estimates for Nagel and Stein's singular integrals studied in [10].

Keywords:

Weak Hardy spaces, singular integral, fractional integral, endpoint estimate.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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Weak Hardy space and endpoint estimates for singular integrals on space of homogeneous type

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