TY - JOUR AU - González, B.J. AU - Negrín, E.R. T1 - New Lp-inequalities for hyperbolic weights concerning the operators with complex Gaussian kernels LA - eng PY - 2018 SP - 399 EP - 421 T2 - Banach Journal of Mathematical Analysis SN - 1735-8787 VL - 12 IS - 2 PB - Duke University Press AB - In this article the authors present a systematic study of several new Lp-boundedness properties and Parseval-type relations concerning the operators with complex Gaussian kernels over the spaces Lp(ℝ, cosh(αx) dx) and Lp(ℝ, cosh(αx2) dx), 1 ≤ p ≤ ∞,α ∈ℝ. Relevant connections with various earlier related results are also pointed out. DO - 10.1215/17358787-2017-0025 UR - https://portalciencia.ull.es/documentos/5e3c3edc29995246bbf613c3 DP - Dialnet - Portal de la Investigación ER -