List of Mathematical Publications
Also see my CV. Note that some papers available for download may differ from published versions.
15. \(H^\infty\)-calculus for semigroup generators on BMO. with Tao Mei and Brian Simanek. Advances in Mathematics. Volume 347, 30 April 2019, Pages 408-441. https://doi.org/10.1016/j.aim.2019.02.027
14. Equivalence among variable exponent Hardy or Bergman spaces. Journal of Mathematical Analysis and Applications. Volume 475 (2019), 173-189. https://doi.org/10.1016/j.jmaa.2019.02.028
13. Sums of Weighted Differentiation Composition Operators. with Soumyadip Acharyya. Complex Analysis and Operator Theory. Volume 13 (2019), no. 3, 1465-1479. https://link.springer.com/article/10.1007/s11785-019-00891-5
12. Uniform Approximation of Extremal Functions in Weighted Bergman Spaces. Computational Methods and Function Theory. Comput. Methods Funct. Theory 18 (2018), no.~3, 439--453. http://rdcu.be/FvYl
11. The range of a real Smirnov function. T. Ferguson and W. Ross. Analysis and Mathematical Physics 9 (2019), no. 1, 497-521. http://rdcu.be/GmvE
10. Bounds on the Norm of the Backward Shift and Related Operators in Hardy and Bergman Spaces. Illinois Jounal of Mathematics. Volume 61, Number 1-2 (2017), 81-96.
9. Bergman-Hölder Functions, Area Integral Means and Extremal Problems. Integr. Equ. Oper. Theory 87 (2017), 545–563. http://rdcu.be/qyCV
8. Bounds on Integral Means of Bergman Projections and their Derivatives. Houston Journal of Math. Volume 45 (2019), no. 2, 567-588
7. Extremal Problems in Bergman Spaces and an Extension of Ryabykh's Hardy Space Regularity Theorem For \(1<p<\infty\). Indiana University Mathematics Journal 66 (2017) no 1, 259-274. Online Version.
6. Regularity of Extremal Functions in Weighted Bergman and Fock Type Spaces. Rocky Mountain Journal of Math, Volume 49(2019), no. 1, 47-71.
5. Solution of extremal problems in Bergman spaces using the Bergman projection. Comput. Methods Funct. Theory. 14 (2014), no. 1, 35--61. DOI: 10.1007/s40315-013-0046-7 Published version from Springer.
4. Self-Commutators of Toeplitz Operators and Isoperimetric Inequalities. S. Bell, T. Ferguson and E. Lundberg, . Mathematical Proceedings of the Royal Irish Academy 114A (2014), 115-132; doi:10.3318/PRIA.2014.114.033.
3. Linear Extremal Problems in Bergman Spaces and an Extension of Ryabykh’s Theorem. Illinois J. Math., 55, no. 2, 555-573.
2. Gangster Operators and Invincibility of Positive Semidefinite Matrices. with Charles Johnson. Linear Algebra Appl. 433 (2010), 2096–2110.
1. Continuity of Extremal Elements in Uniformly Convex Spaces. Proc. Amer. Math. Soc. 137 (2009), no. 8, 2645–2653.
Extremal Problems in Bergman Spaces. Doctoral Dissertation.
Physics Papers:
14. Equivalence among variable exponent Hardy or Bergman spaces. Journal of Mathematical Analysis and Applications. Volume 475 (2019), 173-189. https://doi.org/10.1016/j.jmaa.2019.02.028
13. Sums of Weighted Differentiation Composition Operators. with Soumyadip Acharyya. Complex Analysis and Operator Theory. Volume 13 (2019), no. 3, 1465-1479. https://link.springer.com/article/10.1007/s11785-019-00891-5
12. Uniform Approximation of Extremal Functions in Weighted Bergman Spaces. Computational Methods and Function Theory. Comput. Methods Funct. Theory 18 (2018), no.~3, 439--453. http://rdcu.be/FvYl
11. The range of a real Smirnov function. T. Ferguson and W. Ross. Analysis and Mathematical Physics 9 (2019), no. 1, 497-521. http://rdcu.be/GmvE
10. Bounds on the Norm of the Backward Shift and Related Operators in Hardy and Bergman Spaces. Illinois Jounal of Mathematics. Volume 61, Number 1-2 (2017), 81-96.
9. Bergman-Hölder Functions, Area Integral Means and Extremal Problems. Integr. Equ. Oper. Theory 87 (2017), 545–563. http://rdcu.be/qyCV
8. Bounds on Integral Means of Bergman Projections and their Derivatives. Houston Journal of Math. Volume 45 (2019), no. 2, 567-588
7. Extremal Problems in Bergman Spaces and an Extension of Ryabykh's Hardy Space Regularity Theorem For \(1<p<\infty\). Indiana University Mathematics Journal 66 (2017) no 1, 259-274. Online Version.
6. Regularity of Extremal Functions in Weighted Bergman and Fock Type Spaces. Rocky Mountain Journal of Math, Volume 49(2019), no. 1, 47-71.
5. Solution of extremal problems in Bergman spaces using the Bergman projection. Comput. Methods Funct. Theory. 14 (2014), no. 1, 35--61. DOI: 10.1007/s40315-013-0046-7 Published version from Springer.
4. Self-Commutators of Toeplitz Operators and Isoperimetric Inequalities. S. Bell, T. Ferguson and E. Lundberg, . Mathematical Proceedings of the Royal Irish Academy 114A (2014), 115-132; doi:10.3318/PRIA.2014.114.033.
3. Linear Extremal Problems in Bergman Spaces and an Extension of Ryabykh’s Theorem. Illinois J. Math., 55, no. 2, 555-573.
2. Gangster Operators and Invincibility of Positive Semidefinite Matrices. with Charles Johnson. Linear Algebra Appl. 433 (2010), 2096–2110.
1. Continuity of Extremal Elements in Uniformly Convex Spaces. Proc. Amer. Math. Soc. 137 (2009), no. 8, 2645–2653.
Extremal Problems in Bergman Spaces. Doctoral Dissertation.
Physics Papers:
- Lepping, Ronald P., C.-C. Wu, Daniel Berdichevsky, and Timothy Ferguson. Estimates of magnetic cloud expansion at 1 AU. Ann. Geophysicae, 26 (2008), 1919-1933.
- Lepping, Ronald P., Daniel Berdichevsky, and Timothy Ferguson. Estimated errors in magnetic cloud model fit-parameters with force free cylindrically symmetric assumptions. J. Geophys. Res., 108(A10) (2003), 1356.
