Sharp maximal function inequalities and boundedness for Toeplitz type operator related to general fractional integral operators
نویسندگان
چکیده
منابع مشابه
Sharp Function Inequalities and Boundness for Toeplitz Type Operator Related to General Fractional Singular Integral Operator
We establish some sharp maximal function inequalities for the Toeplitz type operator, which is related to certain fractional singular integral operator with general kernel. These results are helpful to investigate the boundedness of the operator on Lebesgue, Morrey and Triebel–Lizorkin spaces respectively.
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p A v = u , (1) holds for t = ) t ( = ) t ( , but not if 1 = p . Also for each < p 1 there exists a pair p A ) v , u ( so that (1) fails in the special case t = ) t ( = ) t ( [3, p. 395]. In these exceptional cases we have a weak type inequality. An excellent reference is the book by J.Garcia-Cuerva and J.L.Rubio de Francia [3]. We refer the reader interested in the current stat...
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ژورنال
عنوان ژورنال: Banach Journal of Mathematical Analysis
سال: 2013
ISSN: 1735-8787
DOI: 10.15352/bjma/1358864555