- Tytuł:
- The higher order Riesz transform for Gaussian measure need not be of weak type (1,1)
- Autorzy:
-
Forzani, Liliana
Scotto, Roberto - Powiązania:
- https://bibliotekanauki.pl/articles/1217692.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Fourier analysis
Gaussian measure
Poisson-Hermite integrals
Hermite expansions - Opis:
- The purpose of this paper is to prove that the higher order Riesz transform for Gaussian measure associated with the Ornstein-Uhlenbeck differential operator $L:= d^2//dx^2 - 2xd//dx$, x ∈ ℝ, need not be of weak type (1,1). A function in $L^1(dγ)$, where dγ is the Gaussian measure, is given such that the distribution function of the higher order Riesz transform decays more slowly than C/λ.
- Źródło:
-
Studia Mathematica; 1998, 131, 3; 205-214
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł