scholarly journals On the transformation of vector-valued sequences by linear and multilinear operators

2016 ◽  
Vol 183 (3) ◽  
pp. 415-435 ◽  
Author(s):  
Geraldo Botelho ◽  
Jamilson R. Campos
Keyword(s):  
Multilinear Operators ◽  
Vector Valued

scholarly journals Restriction of Fourier transforms to curves: An endpoint estimate with affine arclength measure

2012 ◽  
Vol 2013 (682) ◽  
pp. 167-205
Author(s):  
Jong-Guk Bak ◽  
Daniel M. Oberlin ◽  
Andreas Seeger
Keyword(s):  
Fourier Transforms ◽  
Multilinear Operators ◽  
Strong Type ◽  
Type Estimate ◽  
Essential Ingredient ◽  
Fourier Restriction ◽  
Vector Valued Functions ◽  
Vector Valued ◽  
Affine Arclength ◽  
Interpolation Result

Abstract. Consider the Fourier restriction operators associated to curves in ℝ d , . We prove for various classes of curves the endpoint restricted strong type estimate with respect to affine arclength measure on the curve. An essential ingredient is an interpolation result for multilinear operators with symmetries acting on sequences of vector-valued functions.

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