Almost Everywhere Convergence of Riesz Means Related to Schrödinger Operator with Constant Magnetic Fields
نویسندگان
چکیده
منابع مشابه
Almost Everywhere Convergence of Riesz Means Related to Schrödinger Operator with Constant Magnetic Fields
and Applied Analysis 3 Lemma 4. For λ > 0, one has K δ,l,j λ f (x) 2 2 ≤ C2 −2M(j+l) δ 2Mf 2 2 , (19) where the constant C is independent of λ and δ. Proof. With the method similar to the proof of Lemma 4 in [9], we write h(t) = φ(t) − φ(2t) and expandm into a Taylor series around λt. Then, ?̂? δ,l,j λ (t) = ∫m δ (λ(t − 2 −(j+l) δ 2 r λ )) ĥ (r) dr = ∫m δ (λt − 2 −(j+l) δ 2 ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/859680