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Dr Usman Ashraf

Dr Usman Ashraf

Assistant Professor

Area of Interest: Functional Analysis

Email: [email protected]

HEC Approved PhD Supervisor

Academics / Degrees

  • PhD, Government College University, Lahore, Pakistan, 2009
  • M.Sc., University of the Punjab, Lahore, Pakistan, 1999
  • B.Sc., Punjab University, Lahore, Pakistan, 1997

Profile / Bio

PROFESSIONAL AND RESEARCH EXPERIENCE

  • July 2009 to Continued: Assistant Professor, Department of Mathematics,
    COMSATS Institute of Information Technology, Abbottabad, Pakistan
  • Feb. 2009 to Jun.2009: Lecturer, Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
  • Sep. 2002 to Aug. 2004: Lecturer, Govt. A. H. Islamia College Jalalpur Jattan, Gujrat, Pakistan

Research Interests

  • Boundedness and Compactness of Operators
  • Harmonic Analysis
  • Algebra

Awards

  • Awarded PhD SCHOLARSHIP under Indigenous Fellowship Program by Higher Education Commission of Pakistan in 2004.

Students Supervised

  • Azmat Ullah Khan, Boundedness Criteria for Kernel Operators in Lp(x) Spaces, COMSATS Institute of Information Technology, Abbottabad, 2010-2011

Journal Publications

1. <a href="MemberDetails.aspx?memberID=152" title="Dr. Madad Khan">M.Khan</a>,<a href="MemberDetails.aspx?memberID=158" title="Dr.Usman Ashraf">U.Ashraf</a> Direct product of generalized cubic sets in Hv-LA-semigroups, Science International , 2015
2. <a href="MemberDetails.aspx?memberID=152" title="Dr. Madad Khan">M.Khan</a>,<a href="MemberDetails.aspx?memberID=158" title="Dr.Usman Ashraf">U.Ashraf</a> RIGHT REGULAR ABEL-GRASSMANN’S GROUPOIDS CHARACTERIZED BY THEIR - FUZZY IDEALS, Sci. Int (Lahore), 2014
3. <a href="MemberDetails.aspx?memberID=152" title="Dr. Madad Khan">M.Khan</a>,<a href="MemberDetails.aspx?memberID=158" title="Dr.Usman Ashraf">U.Ashraf</a>,<a href="MemberDetails.aspx?memberID=153" title="Dr. Saima Anis">S.Anis</a> A note on right weakly regular semigroups, Science International, 2014
4. <a href="MemberDetails.aspx?memberID=158" title="Dr.Usman Ashraf">U.Ashraf</a> Kernel Operators on the Upper-Half: Boundedness and Compactness Criteria, Turkish Journal of Mathematics, 2014
5. <a href="MemberDetails.aspx?memberID=152" title="Dr. Madad Khan">M.Khan</a>,<a href="MemberDetails.aspx?memberID=158" title="Dr.Usman Ashraf">U.Ashraf</a>,<a href="MemberDetails.aspx?memberID=157" title="Dr.Abdul Sami Awan">A.Awan</a> ON FUZZY INTERIOR IDEALS OF ORDERED LA-SEMIGROUPS, Sci Int, 2012
6. <a href="MemberDetails.aspx?memberID=158" title="Dr.Usman Ashraf">U.Ashraf</a> TWO-WEIGHT ESTIMATES FOR KERNEL OPERATORS DEFINED ON CONES IN HOMOGENEOUS GROUPS, Proceedings of A. Razmadze Mathematical Institute, 2010
7. <a href="MemberDetails.aspx?memberID=158" title="Dr.Usman Ashraf">U.Ashraf</a> WEIGHT CHARACTERIZATION OF THE TRACE INEQUALITY FOR THE GENERALIZED RIEMANN–LIOUVILLE TRANSFORM IN Lp(x) SPACES, Mathematical Inequalities and Applications, 2010
8. <a href="MemberDetails.aspx?memberID=158" title="Dr.Usman Ashraf">U.Ashraf</a> Boundedness and compactness of positive integral operators on cones of homogeneous groups, Positivity, 2009
9. <a href="MemberDetails.aspx?memberID=158" title="Dr.Usman Ashraf">U.Ashraf</a> On a Class of Bounded and Compact Higher Dimensional Kernel Operators, Proceedings of A Razmadze Mathematical Institute, 2007