Ben Jaye


Hello. I am an assistant professor at Kent State University in Ohio, USA. I work in the area of mathematical analysis. (This website is due to be rennovated soon. All my papers are available on ArXiv, and so this list has stopped being updated. In particular, item 9 in the list below has been superseded.)

  1. 9.(with Fedor Nazarov) Reflectionless measures for Calderón-Zygmund operators. Preprint (34 pages). ArXiv:1309.6661

  2. 8.(with Fedor Nazarov) Three revolutions in the kernel are worse than one. Preprint (13 pages). ArXiv:1307.3678

  3. 7.(with Fedor Nazarov) Reflectionless measures and the Mattila-Melnikov-Verdera uniform rectifiability theorem. Preprint (31 pages). ArXiv:1307.1156

  4. 6.(with Fedor Nazarov and Alexander Volberg) The fractional Riesz transform and an exponential potential. To appear in the St. Petersburg Mathematical Journal (Algebra i Analysis). (48 pages) ArXiv:1204.2135

  5. 5.(with Vladimir Maz’ya and Igor Verbitsky) Quasilinear elliptic equations and Sobolev-Poincare inequalities with distributional weights. Advances in Mathematics, Volume 232, Issue 1, 2013, Pages 513--542. ArXiv:1204.3063

  6. 4.(with Igor Verbitsky) Nonlinear equations with natural growth terms. Archive for Rational Mechanics and Analysis, Volume 204, Number 2, Pages 627-681, 2012.  ArXiv:1107.2448.

  7. 3.(with Petr Honzik) On the good-$\lambda$ inequality for nonlinear potentials.  Proceedings of the American Mathematical Society, Volume 140, Pages 4167-4180, 2012.  ArXiv:11056152

  8. 2.(with Vladimir Maz’ya and Igor Verbitsky) Existence and regularity of positive solutions to elliptic equations of Schrodinger type. Journal d'Analyse Mathématique, November 2012, Volume 118, Issue 2, Pages 577-621. ArXiv:1103.0698

  9. 1. (with Igor Verbitsky) The fundamental solution of nonlinear equations with natural growth terms.  To appear in the Annali della Scuola Normale Superiore, Classe di Scienze. (40 pages)  ArXiv:1002.4664.


On the left hand side over here are some teaching files....

  1. 1. Real Analysis II Problem Sheet 1 (with short solutions) Click

  2. 2. Real Analysis II Problem Sheet 2 Click

  3. 2. Real Analysis II Problem Sheet 3 Click

  4. 2. Real Analysis II Problem Sheet 4 Click