tokens: features and high brightness temperatures of the compact radio core component on pc scales (e.g. Lal, Shastri Gabuzda 2004 ; Giroletti Panessa 2009 ; Doi et al. 2013 , 2015 ). Generally, the X-ray emission in radio-quiet AGNs is believed to be produced in the hot corona by the inverse Compton scattering of the soft photons from the accretion disc (e.g. Haardt Maraschi 1991 , 1993 ; Liu et al. 2002 ), while the origin of the radio emission in the radio-quiet AGNs is still not fully understood, which is suggested to be from jets by some works although not fully proved (e.g. Czerny You 2016 ). It is shown that the study of the relation between the radio luminosity and X-ray luminosity is a very useful tool to investigate the coupling of the accretion and the jet (Merloni, Heinz di Matteo 2003 ). The radio/X-ray correlation has been investigated for different types of AGN, as well as black hole X-ray binaries (BHBs) in the low/hard spectral state (e.g. Merloni et al. 2003 ; Wang et al. 2006 ; Li et al. 2008 ; de Gasperin et al. 2011 ). It is found that in the low-luminosity AGNs (LLAGNs) and in the underluminous low/hard spectral state of BHBs (e.g. Körding, Falcke Corbel 2006 ), while this correlation becomes significantly steeper, i.e. , in the luminous AGNs and the luminous low/hard spectral state of BHBs (e.g. Corbel et al. 2004 ; Rushton et al. 2010 ; Dong, Wu Cao 2014 ). Some NLS1 have been included in previous studies of radio/X-ray correlation. However, as the number of the NLS1 in the sample is very small, their statistical properties are overwhelmed by other types of AGNs (e.g. Merloni et al. 2003 ; Dong et al. 2014 ; Panessa et al. 2015 ). Furthermore, the measurements of their radio luminosities could be severely contaminated by the host galaxies; e.g. if the resolution of the radio observation is not high enough, the star formation activities in their circumnuclear regions can have very strong contributions to the radio luminosity (e.g. Deo, Crenshaw Kraemer 2006 ; Ohta et al. 2007 ; Sani et al. 2010 ). Caccianiga et al. ( 2015 ) found that the star formation activities can contribute a significant fraction of radio emission even in some radio-loud NLS1. In order to reduce the contaminations from the host galaxy as much as possible, in this work we make use of radio fluxes within the central regions () of nearby radio-quiet NLS1 measured from high-resolution radio images to study their nuclear radio/X-ray relation, which was rarely studied before. This could help us understand the physics of the accretion and jet in high Eddington ratio regime. We also explore the mutual relation between the radio luminosity, X-ray luminosity, optical luminosity, and black hole mass. There are several works on the radio images of radio-loud NLS1 on kpc scales or even pc scales recently (e.g. Doi, Asada Nagai 2011 ; Doi et al. 2012 ; Gu et al. 2015 ). But we do not choose the radio-loud ones so as to avoid the relativistically beaming effects.
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