Sasha Volberg's Home Page

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Talks

• Complex Analysis and Complex Dynamics
• Wavelets and the Angle Between Past and Future
  With Sergei Treil

Recent Articles

• Wavelets and the angle between past and future With S. Treil
• A simple proof of the Hunt -- Muckenhoupt -- Wheeden Theorem
  With S. Treil
• On harmonic measure on the Julia set of Blaschke products with one petal
  With I. Popovici
• On conformally maximal polynomial-like dynamics and invariant harmonic measure
  With Z. Balogh, I. Popovici
• Matrix A_p weights via S-functions
• Rigidity of harmonic measure
  With I. Popovici
• The Bellman functions and two weight inequalities for Haar multipliersL² spaces
  With F. Nazarov and S. Treil
• Counterexamples to infinite dimensional Carleson imbedding theorem
  With F. Nazarov and S. Treil
• Cauchy integral and Calderon-Zygmund operators on nonhomogeneous spaces
  With F. Nazarov and S. Treil
• Continuous frame decomposition and a vector Hunt-Muckenhoupt-Wheeden theorem
  With S. Treil
• Completely regular multivariate stationary processes and the Muckenhoupt condition
  With S. Treil
• Weak type estimates and Cotlar inequalities for Calderon-Zygmund operators in nonhomogeneous spaces.
  With F. Nazarov and S. Treil
• Brennan's conjecture and the Mandelbrot set.
  With K. Baranski and A. Zdunik
• Logarithmic growth for matrix martingale transform.
  With A. Gillespie, F. Nazarov, S. Treil, and S. Pott
• Logarithmic growth for weighted Hilbert transform and vector Hankel operators.
  With A. Gillespie, F. Nazarov, S. Treil, and S. Pott
• On analytic capacity of portions of continuum and a theorem of Guy David.
  With F. Nazarov
• Tb theorems on nonhomogeneous spaces.
  With F. Nazarov and S. Treil
• Accretive system Tb theorems on nonhomogeneous spaces.
  With F. Nazarov and S. Treil
• Heating of the Beurling operator: why weakly quasiregular maps on the plane are quasiregular
  With St. Petermichl
• Heating of the Beurling operator and estimates of its norms
  With F. Nazarov
• How our Bellman function got its name
  With F. Nazarov and S. Treil
• Why Riesz transforms are averages of dyadic shifts
  With St. Petermichl
• Factorization of Polynomials With Estimates of Norms
• On generalized sum rules for Jacobi matrices  (with P. Yuditskii)     
• Noncommutative Perron-Frobenius-Ruelle theorem, two weight Hilbert transform, and almost periodicity  (with F. Nazarov, F. Peherstorfer, and P. Yuditskii)
• Limit periodic Jacobi matrices with a prescribed p-adic hull and a singular continuous spectrum (with F. Peherstorfer and P. Yuditskii)
• Two weight estimate for the Hilbert transform and corona decomposition for non-doubling measures (with F. Nazarov, S. Treil)
• Two weight $T1$ theorem for the Hilbert transform: the case of doubling measures (with F. Nazarov, S. Treil)
• On the inverse Scattering Problem for Jacobi Matrices with the Spectrum on an Interval, a finite System of Intervals, or a Cantor set of Positive Length, (with P. Yuditskii)
• Bellman function, Littlewood-Paley estimates, and asymptotics for the Ahlfors-Beurling operator in$L^p$, when $p$ goes to infinity,  (with O. Dragicevic)
• Bellman function, two weighted Hilbert transform, and embeddings  of the model spaces $K{\theta}$ (with F. Nazarov)
• Two weight estimate for the individual Haar multipliers operator and other well localized operators (with F. Nazarov and S. Treil)
• Vita

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• Office D 314 Wells Hall
• Office hours By the appointment

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