MINIMAL REGULARITY CONDITIONS FOR THE END-POINT ESTIMATE OF BILINEAR CALDERÓN-ZYGMUND OPERATORS

@inproceedings{Prez2014MINIMALRC,
  title={MINIMAL REGULARITY CONDITIONS FOR THE END-POINT ESTIMATE OF BILINEAR CALDER{\'O}N-ZYGMUND OPERATORS},
  author={C. P{\'e}rez and Rodolfo H. Torres},
  year={2014}
}
A crucial property addressed in the linear Calderón-Zygmund theory, going back to the founding article [1], is the fact that operators bounded on L whose kernels possess certain regularity are in fact bounded on every L space for 1 < p < ∞. Moreover, such a regularity assumption implies, together with the L-boundedness of the operator, a weak-type end-point estimate in L. From these continuity properties, the whole range of values of p follows by duality and interpolation. The quest for the… CONTINUE READING

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