Multi-dimensional Fejér summability and local Hardy spaces

• Autorzy: Ferenc Weisz
• Języki publikacji: EN

Abstrakty

EN

It is proved that the multi-dimensional maximal Fejér operator defined in a cone is bounded from the amalgam Hardy space $W(h_{p},ℓ_{∞})$ to $W(L_{p},ℓ_{∞})$. This implies the almost everywhere convergence of the Fejér means in a cone for all $f ∈ W(L₁,ℓ_{∞})$, which is larger than $L₁(ℝ^{d})$.

Kategorie tematyczne

• 42A38: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 42B08: Summability
• 42B30: H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 194
• Numer: 2
• Strony: 181-195

Daty

wydano

2009

Twórcy

autor

Ferenc Weisz

• Department of Numerical Analysis, Eötvös L. University, Pázmány P. sétány 1/C, H-1117 Budapest, Hungary

Identyfikatory

DOI

10.4064/sm194-2-5