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- W1981973459 abstract "Abstract In this paper we study integral operators with kernels $$K(x,y) = k_1 (x - A_1 y) cdots k_m left( {x - A_m y} right),$$ $$k_i left( x right) = {{Omega _i left( x right)} mathord{left/ {vphantom {{Omega _i left( x right)} {left| x right|}}} right. kern-nulldelimiterspace} {left| x right|}}^{{n mathord{left/ {vphantom {n {q_i }}} right. kern-nulldelimiterspace} {q_i }}}$$ where Ωi: ℝn → ℝ are homogeneous functions of degree zero, satisfying a size and a Dini condition, A i are certain invertible matrices, and n/q 1 +…+n/q m = n−α, 0 ≤ α < n. We obtain the appropriate weighted L p-L q estimate, the weighted BMO and weak type estimates for certain weights in A(p, q). We also give a Coifman type estimate for these operators." @default.
- W1981973459 created "2016-06-24" @default.
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- W1981973459 date "2014-01-01" @default.
- W1981973459 modified "2023-10-10" @default.
- W1981973459 title "Weighted inequalities for some integral operators with rough kernels" @default.
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- W1981973459 doi "https://doi.org/10.2478/s11533-013-0362-1" @default.
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