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A general system of polar coordinates with applications

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Part of the Lecture Notes in Mathematics book series (LNM,volume 945)

Abstract

We present in an expository way a general method of introducing certain “polar coordinates” which can be easily applied to handle some interesting problems in the fields of singular integral operators, differentiation theory,... by means of a technique which follows the steps of the rotation method of Calderón and zygmund. A more complete technical exposition will be published elsewhere.

Keywords

  • Differentiation Theory
  • Singular Integral Operator
  • Rotation Method
  • Family Curve
  • Smooth Positive Function

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References

  • CALDERON, A.P. and ZYGMUND, A. [1956], On singular integrals, Amer. J. Math. 18 (1956), 289–309.

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© 1982 Springer-Verlag

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de Guzmán, M., de la Villa, A. (1982). A general system of polar coordinates with applications. In: Kölzow, D., Maharam-Stone, D. (eds) Measure Theory Oberwolfach 1981. Lecture Notes in Mathematics, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096678

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  • DOI: https://doi.org/10.1007/BFb0096678

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11580-9

  • Online ISBN: 978-3-540-39324-5

  • eBook Packages: Springer Book Archive