2015•Shuxue de shijian yu renshiRequires access

A Note on Some Kind of Commutators in Weighted Morrey Spaces

Xiaofen Ye

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Abstract

Let L~(p,k)(ω) be the weighted Morrey spaces,suppose Tand I_αare CalderonZygmund integral operator and fractional integral operator and BMO function b.In this paper,if p=1 we discuss the commutators[b,T]and[b,I_α]are bounded from L~(Φ,k)(ω) to weak L~(1,k)(ω)(L~(q,k)(ω)),where Φ(t)=t log(e+t),1/q=1-α/n.

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Let L~(p,k)(ω) be the weighted Morrey spaces,suppose Tand I_αare CalderonZygmund integral operator and fractional integral operator and BMO function b.In this paper,if p=1 we discuss the commutators[b,T]and[b,I_α]are bounded from L~(Φ,k)(ω) to weak L~(1,k)(ω)(L~(q,k)(ω)),where Φ(t)=t log(e+t),1/q=1-α/n.

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Available abstract

Let L~(p,k)(ω) be the weighted Morrey spaces,suppose Tand I_αare CalderonZygmund integral operator and fractional integral operator and BMO function b.In this paper,if p=1 we discuss the commutators[b,T]and[b,I_α]are bounded from L~(Φ,k)(ω) to weak L~(1,k)(ω)(L~(q,k)(ω)),where Φ(t)=t log(e+t),1/q=1-α/n.

Key concepts: Mathematics, Bounded function, Operator (biology), Maximal operator, Pure mathematics, Function (biology), Combinatorics, Mathematical analysis

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