Note on Singular Integrals1

نویسنده

  • E. M. STEIN
چکیده

then by a well-known theorem of M. Riesz, ll/(*)IU<^ll/(*)IU ifi<#<«. Hardy and Littlewood [4], and Babenko [l], have complemented this result by proving that: \\f(x)\x\e\\p<Ap.f!\\f(x)\x\e\\P, if l<p< co, and -l/p<P<l/p'. The theory of conjugate functions has been extended to w-dimensions by A. P. Calderon and A. Zygmund. In [2] and [3] they have considered a wide variety of singular transformations of the form:

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تاریخ انتشار 2010