Temat: maximal functions - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Weighted estimates for commutators of linear operators
Autorzy:: Alvarez, Josefina
Bagby, Richard
Kurtz, Douglas
Pérez, Carlos
Powiązania:: https://bibliotekanauki.pl/articles/1292924.pdf
Data publikacji:: 1993
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: bounded mean oscillation
singular integrals
maximal functions
weighted inequalities
Opis:: We study boundedness properties of commutators of general linear operators with real-valued BMO functions on weighted $L^p$ spaces. We then derive applications to particular important operators, such as Calderón-Zygmund type operators, pseudo-differential operators, multipliers, rough singular integrals and maximal type operators.
Źródło:: Studia Mathematica; 1993, 104, 2; 195-209
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Weighted inequalities for one-sided maximal functions in Orlicz spaces
Autorzy:: Ortega Salvador, Pedro
Powiązania:: https://bibliotekanauki.pl/articles/1217888.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: one-sided maximal functions
weighted inequalities
weights
Orlicz spaces
Opis:: Let $M_{g}^{+}$ be the maximal operator defined by $M_{g}^{+}⨍(x) = \underset{h>0}{\text{sup}} (ʃ_{x}^{x+h} |⨍|g)/(ʃ_{x}^{x+h} g)$, where g is a positive locally integrable function on ℝ. Let Φ be an N-function such that both Φ and its complementary N-function satisfy $Δ_2$. We characterize the pairs of positive functions (u,ω) such that the weak type inequality $u({x ∈ ℝ | M_{g}^{+}⨍(x) > λ}) ≤ C/(Φ(λ)) \int_ℝ Φ(|⨍|)ω$ holds for every ⨍ in the Orlicz space $L_Φ(ω)$. We also characterize the positive functions ω such that the integral inequality $\int_ℝ Φ(|M_{g}^{+}⨍|)ω ≤ \int_ℝ Φ(|⨍|)ω$ holds for every $⨍ ∈ L_Φ(ω)$. Our results include some already obtained for functions in $L^p$ and yield as consequences one-dimensional theorems due to Gallardo and Kerman-Torchinsky.
Źródło:: Studia Mathematica; 1998, 131, 2; 101-114
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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