Abstract
In this section we investigate multipliers with respect to the H.s. A sequence λ n , k , (n, k) ∈ Ω generates the operator
on the polynomials with respect to the H.s. Such operators are said to be multipliers. Recall that the norm of Λ from L p into L p (L p ) is denoted by ‖Λ‖p,q (‖Λ‖ p ). The main result of Chapter 5 (Corollary 5.8) may be formulated in the following way. If EquationSource % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacaaIXaGaeyipaWJaamiCaiabgYda8iabg6HiLkaacYcadaWcaaWd % aeaapeGaaGymaaWdaeaapeGaamiCaaaacqGHRaWkpaGaafiiamaala % aabaGaaGymaaqaaiaadchadaahaaWcbeqaaiaaigdaaaaaaOGaeyyp % a0JaaGymaaaa!4432! $$1 < p < \infty ,\frac{1}{p} + {\text{ }}\frac{1}{{{p^1}}} = 1 $$, then
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Novikov, I., Semenov, E. (1997). Fourier-Haar Multipliers. In: Haar Series and Linear Operators. Mathematics and Its Applications, vol 367. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1726-7_12
Download citation
DOI: https://doi.org/10.1007/978-94-017-1726-7_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4693-2
Online ISBN: 978-94-017-1726-7
eBook Packages: Springer Book Archive