Uniform boundedness of Kantorovich operators in Morrey spaces
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DOI: 10.1007/s11117-018-0561-x
Abstract: In this paper, the Kantorovich operators $$K_n, n\in \mathbb {N}$$Kn,n∈N are shown to be uniformly bounded in Morrey spaces on the closed interval [0, 1]. Also an upper estimate is obtained for the difference $$K_n(f)-f$$Kn(f)-f for… read more here.
Keywords: morrey spaces; kantorovich operators; uniform boundedness; operators morrey ... See more keywords
On the compactness of convolution-type operators in Morrey spaces
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DOI: 10.1134/s0001434617090152
Abstract: In a Morrey space, the product of the convolution operator with summable kernel and the operator of multiplication by an essentially bounded function is considered. Sufficient conditions for such a product to be compact are… read more here.
Keywords: operators morrey; compactness convolution; convolution; type operators ... See more keywords
Definability of singular integral operators on Morrey–Banach spaces
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DOI: 10.2969/jmsj/81208120
Abstract: We give a definition of singular integral operators on MorreyBanach spaces which include Orlicz-Morrey spaces and Morrey spaces with variable exponents. The main result of this paper ensures that the singular integral operator is well… read more here.
Keywords: banach spaces; singular integral; integral operators; operators morrey ... See more keywords