A half-discrete hilbert-type inequality in the whole plane with the constant factor related to a cotangent function

HIGHLIGHTS

• who: Minghui You from the Department of Mathematics, Hangzhou, China have published the research: A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function, in the Journal: (JOURNAL)
• how: The following Hilbert-type inequality with a homogeneous kernel of degree 2u03b2 can be obtained.

SUMMARY

Some lemmas Lemma 2.1 Let δ ∈ {1, -1}, and 2i + 1, i, j ∈ Z.:=t: t=2j + 1 Suppose that α ∈, β, γ ∈ R+ ∩, and α, β, γ satisfy β and amp;lt; γ and α + β and amp;lt; 1. Corollary 4.2 Let δ ∈ {1, -1 . . .

 



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