The John-Nirenberg type inequality for non-doubling measures

• Autorzy: Yoshihiro Sawano , Hitoshi Tanaka
• Języki publikacji: EN

Abstrakty

EN

X. Tolsa defined a space of BMO type for positive Radon measures satisfying some growth condition on $ℝ^{d}$. This new BMO space is very suitable for the Calderón-Zygmund theory with non-doubling measures. Especially, the John-Nirenberg type inequality can be recovered. In the present paper we introduce a localized and weighted version of this inequality and, as applications, we obtain some vector-valued inequalities and weighted inequalities for Morrey spaces.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 181
• Numer: 2
• Strony: 153-170

Daty

wydano

2007

Twórcy

autor

Yoshihiro Sawano

• Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo 192-0397, Japan

autor

Hitoshi Tanaka

• Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan

Identyfikatory

DOI

10.4064/sm181-2-3