Scaling properties of infinitely flat curves and surfaces

  • Alex Iosevich
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


We shall give simple sufficient conditions for the Orlicz type bounds for the averaging operators and restriction operators associated with infinitely flat curves in the plane. Our results, obtained by scaling, can be used to recover, up to the endpoints, the results previously obtained in [4], [1], and [2]. We also prove some three dimensional analogs of those results.


Restriction Operator Orlicz Space Dilation Operator Young Function Dimensional Analog 
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Copyright information

© Birkhäuser Boston 1999

Authors and Affiliations

  • Alex Iosevich

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