It is known that the fractional integral operator Iα based on a symmetric Markovian semigroup with Varopoulos dimension d is bounded from Lp to Lq, if 0 < α < d, 1 < p < q < ∞ and −d/p + α = −d/q, ...

Integral transformations are developed for the Stokes Beltrami equations from essentially one identity known for axially symmetric harmonics and stream functions in several space dimensions. It is ...

Research in inequalities and integrals within the realm of fuzzy and interval-valued functions has advanced our understanding of uncertainty quantification and non-linear analysis. This field ...

Superintegrable systems constitute a fascinating field of study within quantum mechanics, distinguished by the presence of more independent integrals of motion than degrees of freedom. This additional ...