Pointwise multipliers on martingale Campanato spaces

• Autorzy: Eiichi Nakai , Gaku Sadasue
• Języki publikacji: EN

Abstrakty

EN

We introduce generalized Campanato spaces $𝓛_{p,ϕ}$ on a probability space (Ω,ℱ,P), where p ∈ [1,∞) and ϕ: (0,1] → (0,∞). If p = 1 and ϕ ≡ 1, then $𝓛_{p,ϕ} = BMO$. We give a characterization of the set of all pointwise multipliers on $𝓛_{p,ϕ}$.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 60G46: Martingales and classical analysis

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 220
• Numer: 1
• Strony: 87-100

Daty

wydano

2014

Twórcy

autor

Eiichi Nakai

• Department of Mathematics, Ibaraki University, Mito, Ibaraki 310-8512, Japan

autor

Gaku Sadasue

• Department of Mathematics, Osaka Kyoiku University, Kashiwara, Osaka 582-8582, Japan

Identyfikatory

DOI

10.4064/sm220-1-5