Convolution with affine arclength measures in the plane
نویسندگان
چکیده
منابع مشابه
Pursuing the Double Affine Grassmannian Ii: Convolution
This is the second paper of a series (started by [3]) which describes a conjectural analog of the affine Grassmannian for affine Kac-Moody groups (also known as the double affine Grassmannian). The current paper is dedicated to describing a conjectural analog of the convolution diagram for the double affine Grassmannian. In the case when G = SL(n) our conjectures can be derived from [12].
متن کاملConvolution estimates related to space curves
Correspondence: youngwoo@ajou. ac.kr Department of Mathematics, Ajou University, Suwon 443-749, South Korea Abstract Based on a uniform estimate of convolution operators with measures on a family of plane curves, we obtain optimal L-L boundedness of convolution operators with affine arclength measures supported on space curves satisfying a suitable condition. The result generalizes the previous...
متن کاملUniform Lorentz norm estimates for convolution operators
Uniform endpoint Lorentz norm improving estimates for convolution operators with affine arclength measure supported on simple plane curves are established. The estimates hold for a wide class of simple curves, and the condition is stated in terms of averages of the square of the affine arclength weight, extending previously known results. MSC: Primary 44A35; secondary 42B35
متن کاملConvolution of Volume Measures
If M1 and M2 are hypersurfaces in R and μ1 and μ2 are their volume measures, we provide a formula for the absolutely continuous part h of μ1∗μ2. We prove h is continuous off a compact set of measure zero, and calculate it explicitely if M1 and M2 are spheres.
متن کاملOn Polynomial Curves in the Affine Plane
A curve that can be parametrized by polynomials is called a polynomial curve. It is well-known that a polynomial curve has only one place at infinity. Sathaye indicated the Abhyankar’s question for curves with one place at infinity. Let C be a curve with one place at infinity. Is there a polynomial curve associated with the semigroup generated by pole orders of C at infinity? We found a counter...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-05462-3