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Boundedness of Calderón-Zygmund Singular Inegral Operators

Pourmohammad, Hassan | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 48631 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Ranjbar-Motlagh, Alireza
  7. Abstract:
  8. The so called T(b) theorem for boundedness of generalized CalderonZygmund singular integrals is investigated. This theorem provides a criterion, in which boundedness of the operator is equivalent to a special condition for the image of some function under action of that operator.Then we discuss some applications of the theorem in analysis and partial differential equations
  9. Keywords:
  10. Singular Integral ; T(b) Theorem ; Cauchy Integral Operator ; Geometric Measure Theory ; Analytic Capacity ; Dengoy Conjecture

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