All Stories

  1. A WEIGHTED COMPACTNESS CRITERION FOR COMMUTATORS ASSOCIATED WITH GENERALIZED CALDERÓN–ZYGMUND OPERATORS

    Article • Journal of Integral Equations and Applications, June 2023, Rocky Mountain Mathematics Consortium

    Professor Pengtao Li

  2. Weighted $$L^{p}$$-boundedness and $$L^{p}$$-compactness criteria to commutators of operators with kernels satisfying Hörmander type estimates

    Article • Banach Journal of Mathematical Analysis, May 2023, Springer Science + Business Media

    Professor Pengtao Li

  3. Quantitative Weighted Bounds for Littlewood-Paley Functions Generated by Fractional Heat Semigroups Related with Schrödinger Operators

    Article • Journal of Function Spaces, March 2023, Hindawi Publishing Corporation

    Professor Pengtao Li

  4. Extension of Q type spaces related with weights via s-harmonic equations and applications

    Article • Journal of Mathematical Analysis and Applications, February 2023, Elsevier

    Professor Pengtao Li

  5. Boundedness and compactness of commutators related with Schrödinger operators on Heisenberg groups

    Article • Journal of Pseudo-Differential Operators and Applications, December 2022, Springer Science + Business Media

    Professor Pengtao Li

  6. On weighted boundedness and compactness of operators generated by fractional heat semigroups related with Schrödinger operators

    Article • Annals of Functional Analysis, October 2022, Springer Science + Business Media

    Professor Pengtao Li

  7. Extension of Q‐type spaces related with weight functions via convolution operators on Heisenberg groups

    Article • Mathematical Methods in the Applied Sciences, September 2022, Wiley

    Professor Pengtao Li

  8. The Herz-Boundedness of Commutators Related to Schrödinger Operators in the Setting of Heisenberg Group

    Article • Bulletin of the Malaysian Mathematical Sciences Society, March 2022, Springer Science + Business Media

    Professor Pengtao Li

  9. Carleson measures and the boundedness of singular integral operators on Q-type spaces related to weights

    Article • Annals of Functional Analysis, November 2021, Springer Science + Business Media

    Professor Pengtao Li

  10. Boundedness of operators generated by fractional semigroups associated with Schrödinger operators on Campanato type spaces via T1 theorem

    Article • Banach Journal of Mathematical Analysis, September 2021, Springer Science + Business Media

    Professor Pengtao Li

  11. Characterizations of vanishing Campanato classes related to Schrödinger operators via fractional semigroups on stratified groups

    Article • Mathematical Methods in the Applied Sciences, May 2021, Wiley

    Professor Pengtao Li

  12. Regularities of Time-Fractional Derivatives of Semigroups Related to Schrodinger Operators with Application to Hardy-Sobolev Spaces on Heisenberg Groups

    Article • Journal of Function Spaces, October 2020, Hindawi Publishing Corporation

    Professor Pengtao Li

  13. Extension of Besov-Q Type Spaces via Convolution Operators with Applications

    Article • Complex Analysis and Operator Theory, May 2020, Springer Science + Business Media

    Professor Pengtao Li

  14. Extension of Campanato–Sobolev type spaces associated with Schrödinger operators

    Article • Annals of Functional Analysis, January 2020, Springer Science + Business Media

    Professor Pengtao Li

  15. Area Integral Characterization of Hardy space H1L related to Degenerate Schrödinger Operators

    Article • Advances in Nonlinear Analysis, December 2019, De Gruyter

    Professor Pengtao Li

  16. Riesz transforms on the Hardy space associated with generalized Schrödinger operators

    Article • Journal of Inequalities and Applications, June 2019, Springer Science + Business Media

    Professor Pengtao Li

  17. Regularity properties of the heat kernel and area integral characterization of Hardy space H

    Article • Journal of Mathematical Analysis and Applications, October 2018, Elsevier

    Professor Pengtao Li

  18. Poisson semigroup characterization and the trace theorem of a class of fractional mean oscillation spaces

    Article • Mathematical Methods in the Applied Sciences, March 2018, Wiley

    Professor Pengtao Li

  19. Regular wavelets and Triebel-Lizorkin type oscillation spaces

    Article • Mathematical Methods in the Applied Sciences, July 2017, Wiley

    Professor Pengtao Li

  20. Fefferman-Stein decomposition for Q-spaces and micro-local quantities

    Article • Nonlinear Analysis, November 2016, Elsevier

    Professor Pengtao Li

  21. Bilinear estimate and Naiver-Stokes equations

    Article • Mathematical Methods in the Applied Sciences, March 2016, Wiley

    Professor Pengtao Li

  22. STABILITY AND MORREY SPACES RELATED TO MULTIPLIERS

    Article • Taiwanese Journal of Mathematics, May 2015, The Mathematical Society of the Republic of China

    Professor Pengtao Li

  23. SEVERAL ANALYTIC INEQUALITIES IN SOME Q−SPACES

    Article • Taiwanese Journal of Mathematics, September 2011, The Mathematical Society of the Republic of China

    Professor Pengtao Li