- Tytuł:
- $(H_p,L_p)$-type inequalities for the two-dimensional dyadic derivative
- Autorzy:
- Weisz, Ferenc
- Powiązania:
- https://bibliotekanauki.pl/articles/1287322.pdf
- Data publikacji:
- 1996
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Hardy spaces
p-atom
interpolation
Walsh functions
dyadic derivative - Opis:
- It is shown that the restricted maximal operator of the two-dimensional dyadic derivative of the dyadic integral is bounded from the two-dimensional dyadic Hardy-Lorentz space $H_{p,q}$ to $L_{p,q}$ (2/3 < p < ∞, 0 < q ≤ ∞) and is of weak type $(L_1,L_1)$. As a consequence we show that the dyadic integral of a ∞ function $f ∈ L_1$ is dyadically differentiable and its derivative is f a.e.
- Źródło:
-
Studia Mathematica; 1996, 120, 3; 271-288
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł