scholarly journals On pencils of polynomial curves

1996 ◽  
Vol 111 (1-3) ◽  
pp. 51-57
Author(s):  
D. Daigle
Keyword(s):  
Polynomial Curves

scholarly journals Fourier restriction to polynomial curves I: a geometric inequality

2010 ◽  
Vol 132 (4) ◽  
pp. 1031-1076 ◽  
Author(s):  
Spyridon Dendrinos ◽  
James Wright
Keyword(s):  
Geometric Inequality ◽  
Polynomial Curves ◽  
Fourier Restriction

scholarly journals Vertical Shift and Simultaneous Diophantine Approximation on Polynomial Curves

2014 ◽  
Vol 58 (1) ◽  
pp. 1-26
Author(s):  
Faustin Adiceam
Keyword(s):  
Hausdorff Dimension ◽  
Diophantine Approximation ◽  
Rational Approximations ◽  
Vertical Shift ◽  
Polynomial Curves ◽  
Integer Coefficients ◽  
Simultaneous Diophantine Approximation ◽  
First Results

AbstractThe Hausdorff dimension of the set of simultaneously τ-well-approximable points lying on a curve defined by a polynomial P(X) + α, where P(X) ∈ ℤ[X] and α ∈ ℝ, is studied when τ is larger than the degree of P(X). This provides the first results related to the computation of the Hausdorff dimension of the set of well-approximable points lying on a curve that is not defined by a polynomial with integer coefficients. The proofs of the results also include the study of problems in Diophantine approximation in the case where the numerators and the denominators of the rational approximations are related by some congruential constraint.

The Road to Chaos is Filled with Polynomial Curves

1996 ◽  
Vol 103 (8) ◽  
pp. 640 ◽  
Author(s):  
Richard D. Neidinger ◽  
R. John Annen
Keyword(s):  
Polynomial Curves ◽  
The Road

Conformal maps defined about polynomial curves

1998 ◽  
Vol 15 (4) ◽  
pp. 323-337 ◽  
Author(s):  
Zafer Kadi ◽  
Alyn Rockwood
Keyword(s):  
Conformal Maps ◽  
Polynomial Curves

scholarly journals Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Feng Liu ◽  
Fangfang Xu
Keyword(s):  
Function Spaces ◽  
Maximal Functions ◽  
Rough Kernels ◽  
Weighted Estimates ◽  
Polynomial Curves ◽  
Definition Of ◽  
Vector Valued Function ◽  
Vector Valued

In this note we establish certain weighted estimates for a class of maximal functions with rough kernels along “polynomial curves” on Rn. As applications, we obtain the bounds of the above operators on the mixed radial-angular spaces, on the vector-valued mixed radial-angular spaces, and on the vector-valued function spaces. Particularly, the above bounds are independent of the coefficients of the polynomials in the definition of the operators.

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