Near-extremizers of Young’s inequality for Euclidean groups

2019 ◽  
Vol 35 (7) ◽  
pp. 1925-1972
Author(s):  
Michael Christ
Keyword(s):  
Young’S Inequality ◽  
Young's Inequality

scholarly journals Hölder regularity for degenerate parabolic equations with variable exponents

2022 ◽  
Vol 40 ◽  
pp. 1-19
Author(s):  
Hamid EL Bahja
Keyword(s):  
Weak Solutions ◽  
Parabolic Equations ◽  
Degenerate Parabolic Equations ◽  
Hölder Regularity ◽  
Variable Exponents ◽  
Young’S Inequality ◽  
Scaling Method ◽  
Degenerate Parabolic ◽  
Young's Inequality ◽  
Holder Regularity

In this paper, we discuss a class of degenerate parabolic equations with variable exponents. By  using the Steklov average and Young's inequality, we establish energy and logarithmicestimates for solutions to these equations. Then based on the intrinsic scaling method, we provethat local weak solutions are locally continuous.

scholarly journals Multiple-Term Refinements of Young Type Inequalities

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Daeshik Choi
Keyword(s):  
Young’S Inequality ◽  
Young's Inequality

Recently, a multiple-term refinement of Young’s inequality has been proved. In this paper, we show its reverse refinement. Moreover, we will present multiple-term refinements of Young’s inequality involving Kantorovich constants. Finally, we will apply scalar inequalities to operators.

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