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math.CV2018
Constructive description of Hölder-like classes on an arc in by means of harmonic functions
Tatyana A. Alexeeva, Nikolay A. Shirokov
We give a constructive description of Hölder-like classes of functions on a chord-arc curve in by means of a rate of approximation by function harmonic is shrinking…
math.CV2013★ 4 cited
Some weighted estimates for the dbar- equation and a finite rank theorem for Toeplitz operators in the Fock space
Grigori Rozenblum, Nikolay Shirokov
We consider the $\dbar-$ equation in $\C^1$ in classes of functions with Gaussian decay at infinity. We prove that if the right-hand side of the equation is majorated by $\exp(-q|z…