Marcinkiewicz integrals along subvarieties on product domains.
A unifying approach for certain class of maximal functions.
Rough Maximal Oscillatory Singular Integral Operators
2000 Mathematics Subject Classification: Primary 42B20; Secondary 42B15, 42B25 In this paper, we establish the L^p boundedness of certain maximal oscillatory singular integral operators with rough kernels belonging to certain block spaces. Our L^p boundedness result improves previously known results.
Rough Marcinkiewics integral operators.
Rough singular integrals on product spaces.
On the boundedness of rough parametric Marcinkiewicz functions.
On maximal functions with rough kernels in L (log L)(S).
In this paper, we study the L mapping properties of maximal functions with rough kernels that are related to certain class of singular integral operators. We prove that our maximal functions are bounded on L provided that their kernels are in L (log L)(S). Moreover, we present an example showing that our size condition on the kernel is optimal. As a consequence of our result, we substantially improve previously known results on maximal functions, singular integral operators, and Parametric Marcinkiewicz...
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