About me

My name is Almaz Butaev and I am a Visiting Assistant Professor at the Department of Mathematical Science, University of Cincinnati. I received my PhD from Concordia University (Montréal) under the supervision of Professor Galia Dafni. Before coming to UC, I was a postdoc at University of Calgary, where my advisor was Professor Alex Brudnyi. Here is my curriculum vitae (as of August 2022). 

Research 

My research interests are harmonic analysis, function spaces, Whitney problems and analysis on metric measure spaces. 

Publications:

  1. Butaev, A., Dafni, G. Approximation and Extension of Functions of Vanishing Mean Oscillation. J Geom Anal 31, 6892–6921 (2021).
  2. Brudnyi, A., Butaev A. On geometric preduals of jet spaces on closed subsets of Rn. C. R. Math. Acad. Sci. Soc. R. Can. 42 (2020), no. 1, 10-20
  3. Butaev, A. On the stability of solutions for a family of parabolic equations with time delay on Rn. Complex Anal. Synerg. 5 (2019), no. 1, 9 pages
  4. Butaev, A. On some refinements of the embedding of critical Sobolev spaces into BMO. Pacific J. Math. 298 (2019), no. 1, 1-26
  5. Ashurov, R. Butaev, A. On some class of nonseparable continuous wavelet transforms. Appl. Anal. 91 (2012) no. 12, 2257–2265
  6. Butaev, A. On multiple Fourier integrals of piecewise smooth functions with discontinuities of the second kind. Appl. Math. Lett. 25 (2012), no. 3, 567–570
  7. Ashurov, R. Butaev, A. Pradhan, B. On generalized localization of Fourier inversion associated with an elliptic operator for distributions. Abstr. Appl. Anal. (2012) ID 649848 13 pages
  8. Ashurov, R. Butaev, A. On continuous wavelet transforms of distributions. Appl. Math. Lett. 24 (2011) no. 9, 1578–1583
  9. Ashurov, R. Butaev, A. The Kahane theorem for nonspherical partial sums of Fourier integrals. C. R. Math. Acad. Sci. Paris 348 (2010), no. 19-20, 1103–1106
  10. Ashurov, R. Butaev, A. On the Pinsky phenomenon. J. Fourier Anal. Appl. 16 (2010), no. 5, 804–812.
  11. Ashurov, R. Butaev, A. On generalized localization of Fourier inversion for distributions. Topics in functional analysis and algebra, 33–50, Contemp. Math., 672, Amer. Math. Soc., 2016.

Manuscripts submitted for publication:

  1. Butaev, A., Dafni, G., Local vanishing mean oscillation
  2. Butaev, A., Dafni, G., Locally uniform domains and extension of bmo functions

In preparation:

  1. Brudnyi, A., Butaev, A. Traces of Lipschitz spaces on a Riemannian manifold 
  2. Butaev, A., Liang, L., Shanmugalingam, N., Dirichlet form on metric measure spaces and graph approximations.

Conferences, Seminars and Talks

Here you can find some links to some talks, seminars and conferences 

UC Analysis Seminar

Recording of my talk at Fields Institute's Focus Program on Analytic Function Spaces and their Applications 

Contact

My office at UC is 5428D, French Hall.

To contact, please, send me an email at butaevaz"AT"ucmail.uc.edu (e.g. by pressing the ‚úČ button on the right)