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Weighted inequalities for real-analytic functions in \(\mathbb R^ 2\).

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Publication:1608531
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DOI10.1007/BF02922043zbMath1036.42005MaRDI QIDQ1608531

Malabika Pramanik

Publication date: 8 August 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)


zbMATH Keywords

Muckenhoupt weightWeierstrass preparation theoremNewton distance


Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier integral operators applied to PDEs (35S30)





Cites Work

  • Unnamed Item
  • Uniform estimates of oscillatory integrals with parabolic or hyperbolic phase
  • A theorem concerning uniform estimates of oscillatory integrals when the phase is a function of two variables
  • Newton polyhedra and estimation of oscillating integrals
  • The Newton polyhedron and oscillatory integral operators
  • Convergence of two-dimensional weighted integrals
  • On the growth and stability of real-analytic functions




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