Shimo Wang, Dunyan Yan, Di Wu
Abstract
In this paper we establish two integral inequalities for two kinds of Hardy operators H_n and H_n at the endpoint.The operator H_n is bounded from L_x~1α(G~n) to L_x~qβ(G~n)with the bound explicitly worked out and a similar result holds for H_n.
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In this paper we establish two integral inequalities for two kinds of Hardy operators H_n and H_n at the endpoint.The operator H_n is bounded from L_x~1α(G~n) to L_x~qβ(G~n)with the bound explicitly worked out and a similar result holds for H_n.
Key concepts: Mathematics, Hardy space, Bounded function, Operator (biology), Space (punctuation), Pure mathematics, Combinatorics, Mathematical analysis