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 ...
Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks. Originating ...
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