Integral Norm Inequalities for Various Operators on Differential Forms

2019 ◽  
pp. 677-693
Author(s):  
Shusen Ding ◽  
Dylan Helliwell ◽  
Gavin Pandya ◽  
Arthur Yae
Keyword(s):  
Differential Forms ◽  
Norm Inequalities ◽  
Integral Norm

scholarly journals Integral norm estimates for the polar derivative of Lacunary-type complex polynomials

2020 ◽  
pp. 36-36
Author(s):  
Abdullah Mir
Keyword(s):  
Uniform Norm ◽  
Complex Polynomials ◽  
Polar Derivative ◽  
Norm Inequalities ◽  
Norm Estimates ◽  
Integral Norm ◽  
Type Complex

In this paper, we prove some integral-norm inequalities for the polar derivative of Lacunary-type complex polynomials having zeros in closed exterior or closed interior of a circle. The results obtained besides derive polar derivative analogues of some classical Bernstein and Tur?n-type inequalities for the uniform-norm also include several interesting generalizations and refinements of some integral-norm inequalities for polynomials as well.

scholarly journals Integral Estimates for the Potential Operator on Differential Forms

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Casey Johnson ◽  
Shusen Ding
Keyword(s):  
Differential Forms ◽  
Potential Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities

We develop the local inequalities with new weights for the potential operator applied to differential forms. We also prove the global weighted norm inequalities for the potential operator in averaging domains and explore applications of our new results.

scholarly journals Weighted norm inequalities for a general maximal operator

1988 ◽  
Vol 26 (1-2) ◽  
pp. 327-340 ◽  
Author(s):  
Francisco J. Ruiz ◽  
Jose L. Torrea
Keyword(s):  
Maximal Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities

scholarly journals Norm inequalities involving a special class of functions for sector matrices

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Davood Afraz ◽  
Rahmatollah Lashkaripour ◽  
Mojtaba Bakherad
Keyword(s):  
Special Class ◽  
Norm Inequalities ◽  
Class Of Functions
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