Considerable research on the relationship between LST and urban greenspace has demonstrated that urban greenspace has cooling effects on LST, now we want Evsluste greenspaces metrics on LST
You have to evaluate the distribution of normality of the data you can use shapiro wilk, if it is positive evaluate by rho of spearman. Although a more robust analysis is to perform the relationship by structural equation analysis (SEM).
There are several methods that can be used to find 1) if there is relation; 2) the type of the relation; 3) the strength of the relation. The method to be selected depends on your assumptions, the type of the data, and also on the number of the variables. Pearson correlation is appropriate if you presume a linear relationship between two variables in interval or ratio scale. If you have more than one greenspaces metrics or the metric is in ordinal scale (e.g. a logical variable), you might turn to models (e.g. GLM) or rank correlations (Spearman/Kendall), respectively.