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θ型C-Z算子在加权变指数Morrey空间上的有界性
Boundedness of θ-type C-Z Operators on Weighted Variable Exponent Morrey Spaces
在满足一定的正则性假设条件下，建立了θ型Calderón-Zygmund算子Tθ在一类变指数Lebesgue空间上的加权有界性.进一步得到了Tθ在加权变指数Herz空间和Herz-Morrey空间上的有界性.另外，还证明了相应的交换子[b，Tθ]在广义加权变指数Morrey空间上是有界的.
We obtain some boundedness results for the θ-type Calderón-Zygmund operators Tθ under natural regularity assumptions on a class of generalized Lebesgue spaces with weight and variable exponent. Furthermore, the boundedness of Tθ is established on the weighted variable Herz and Herz-Morrey spaces based on the above conclusions. We also prove the boundedness of the corresponding commutator[b, Tθ] in the generalized weighted Morrey spaces with variable exponent.
&theta / 型Calderó / n-Zygmund算子 / 加权变指数Morrey空间 / 加权变指数Herz-Morrey空间 {{custom_keyword}} /
θ-type Calderón-Zygmund operator / weighted variable exponent Morrey space / weighted variable exponent Herz-Morrey space {{custom_keyword}} /
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国家自然科学基金资助项目（11561062）
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