naa a22 4500 510781497 CHVBK 20180411083249.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1007/s11854-013-0008-z doi (NATIONALLICENCE)springer-10.1007/s11854-013-0008-z Riesz transforms and multipliers for the Grushin operator [Elektronische Daten] [K. Jotsaroop, P. Sanjay, S. Thangavelu] We show that Riesz transforms associated to the Grushin operator G = −Δ − |x|2∼ t 2 are bounded on L p (ℝ n+1). We also establish an analogue of the Hörmander-Mihlin Multiplier Theorem and study Bochner-Riesz means associated to the Grushin operator. The main tools used are Littlewood-Paley theory and an operator-valued Fourier multiplier theorem due to L. Weis. Hebrew University Magnes Press, 2013 Jotsaroop K. Department of Mathematics, Indian Institute of Science, 560 012, Bangalore, India aut Sanjay P. Department of Mathematics, National Institute of Technology, 673 601, Calicut, India aut Thangavelu S. Department of Mathematics, Indian Institute of Science, 560 012, Bangalore, India aut Journal d'Analyse Mathématique The Hebrew University Magnes Press 119/1(2013-04-01), 255-273 0021-7670 119:1<255 2013 119 11854 https://doi.org/10.1007/s11854-013-0008-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11854-013-0008-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jotsaroop K. Department of Mathematics, Indian Institute of Science, 560 012, Bangalore, India aut NATIONALLICENCE 700 1- Sanjay P. Department of Mathematics, National Institute of Technology, 673 601, Calicut, India aut NATIONALLICENCE 700 1- Thangavelu S. Department of Mathematics, Indian Institute of Science, 560 012, Bangalore, India aut NATIONALLICENCE 773 0- Journal d'Analyse Mathématique The Hebrew University Magnes Press 119/1(2013-04-01), 255-273 0021-7670 119:1<255 2013 119 11854 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer