Wszystkie pola: Caroline. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Absolute continuity for elliptic-caloric measures
Autorzy:: Sweezy, Caroline
Powiązania:: https://bibliotekanauki.pl/articles/1287332.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:: A Carleson condition on the difference function for the coefficients of two elliptic-caloric operators is shown to give absolute continuity of one measure with respect to the other on the lateral boundary. The elliptic operators can have time dependent coefficients and only one of them is assumed to have a measure which is doubling. This theorem is an extension of a result of B. Dahlberg [4] on absolute continuity for elliptic measures to the case of the heat equation. The method of proof is an adaptation of Fefferman, Kenig and Pipher's proof of Dahlberg's result [8].
Źródło:: Studia Mathematica; 1996, 120, 2; 95-112
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: $B^q$ for parabolic measures
Autorzy:: Sweezy, Caroline
Powiązania:: https://bibliotekanauki.pl/articles/1217889.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: parabolic-type measures
Lip (1,1/2) domain
good-λ inequalities
Opis:: If Ω is a Lip(1,1//2) domain, μ a doubling measure on $∂_{p}Ω, ∂//∂t - L_{i}$, i = 0,1, are two parabolic-type operators with coefficients bounded and measurable, 2 ≤ q < ∞, then the associated measures $ω_{0}$, $ω_{1}$ have the property that $ω_{0} ∈ B^{q}(μ)$ implies $ω_{1}$ is absolutely continuous with respect to $ω_{0}$ whenever a certain Carleson-type condition holds on the difference function of the coefficients of $L_{1}$ and $L_{0}$. Also $ω_{0} ∈ B^{q}(μ) $ implies $ω_{1} ∈ B^{q}(μ)$ whenever both measures are center-doubling measures. This is B. Dahlberg's result for elliptic measures extended to parabolic-type measures on time-varying domains. The method of proof is that of Fefferman, Kenig and Pipher.
Źródło:: Studia Mathematica; 1998, 131, 2; 115-135
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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