Multipoint Estimates for Radial and Whole-Plane SLE
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-019-02269-5
Abstract: We prove upper bounds for the probability that a radial $$\hbox {SLE}_{\kappa }$$SLEκ curve, $$\kappa \in (0,8)$$κ∈(0,8), comes within specified radii of n different points in the unit disc. Using this estimate, we then prove… read more here.
Keywords: sle kappa; radial whole; hbox sle; plane ... See more keywords
Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Function Spaces"
DOI: 10.1155/2018/2691816
Abstract: By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The constant factor related… read more here.
Keywords: type integral; hilbert type; integral inequality; function ... See more keywords
ON AN EXTENDED HARDY-HILBERToS INEQUALITY IN THE WHOLE PLANE
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/20190433
Abstract: By introducing independent parameters and applying the weight coefficients, we give an extended Hardy-Hilbert's inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, a few particular cases and the… read more here.
Keywords: hardy hilbertos; extended hardy; inequality whole; whole plane ... See more keywords