In this study, we present a continuous-valued logical approach to generalize the sigmoid function. Our starting point is kappa function, which known as unary operator in logic. First extend function (a,b) interval, and then interpret generalized limit of extended when b tend negative positive infinity, respectively. Since induced by an additive generator strict t-norm or t-conorm, dependent. Ba...

We study multiplier theorems on a vector-valued function space, which is generalization of the results Calderón and Torchinsky, Grafakos, He, Honzík, Nguyen, an improvement result Triebel. For $$0\frac{d}{s-(d/\min {(1,p,q)}-d)}$$ , then $$\begin{aligned} \big \Vert \{\big ( m_k \widehat{f_k}\big )^{\vee }\big \}_{k\in {\mathbb {Z}}}\big _{L^p(...