Stability of integral operators on a space of homogeneous type
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DOI: 10.1002/mana.201500389
Abstract: In this paper, we consider integral operators T on compact spaces of homogeneous type with finite diameter, whose kernels have certain Holder regularity and mild singularity near the diagonal. We show that given any ,… read more here.
Keywords: stability integral; integral operators; homogeneous type; operators space ... See more keywords
Topological Structures of Generalized Volterra-Type Integral Operators
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DOI: 10.1007/s00009-018-1080-5
Abstract: We study the generalized Volterra-type integral and composition operators acting on the classical Fock spaces. We first characterize various properties of the operators in terms of growth and integrability conditions which are simpler to apply… read more here.
Keywords: structures generalized; type integral; generalized volterra; integral operators ... See more keywords
Boundedness of Mixed Norms of Partial Integral Operators
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DOI: 10.1007/s10958-021-05409-z
Abstract: We prove that any linear partial integral operator acting from the space of continuous functions to the Lebesgue class $$ {L}_p\left({D}_{\beta}^{\left({n}_2\right)}\right),1 read more here.
Keywords: norms partial; integral operators; mixed norms; partial integral ... See more keywords
Approximation tools and decay rates for eigenvalues of integral operators on a general setting
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DOI: 10.1007/s11117-019-00706-z
Abstract: We provide the characterization of the Peetre-type K-functional on a compact two-point homogeneous space in terms of the rate of approximation of a family of multipliers operators. This extends the well known results on the… read more here.
Keywords: integral operators; rates eigenvalues; tools decay; approximation tools ... See more keywords
A predual of a predual of Bσ and its applications to commutators
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DOI: 10.1007/s11425-017-9187-3
Abstract: A predual of Bσ-spaces is investigated. A predual of a predual of Bσ-spaces is also investigated, which can be used to investigate the boundedness property of the commutators. The relation between Herz spaces and local… read more here.
Keywords: integral operators; predual predual; applications commutators; boundedness ... See more keywords
Inverse-Closedness of Subalgebras of Integral Operators with Almost Periodic Kernels
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DOI: 10.1007/s11785-019-00968-1
Abstract: The integral operator of the form $$\begin{aligned} \bigl (Nu\bigr )(x)=\sum _{k=1}^\infty e^{i\langle \omega _k,x\rangle } \int _{\mathbb {R}^c}n_k(x-y)\,u(y)\,dy \end{aligned}$$ ( N u ) ( x ) = ∑ k = 1 ∞ e i ⟨… read more here.
Keywords: inverse closedness; integral operators; subalgebras integral; closedness subalgebras ... See more keywords
Subordination and superordination preserving properties for families of integral operators for meromorphic functions
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DOI: 10.1007/s13324-020-00354-7
Abstract: In this paper we obtain subordination, superordination, and sandwich-type results related to certain family of integral operators defined on the space of meromorphic functions in the open unit disk. Also, an application of the subordination… read more here.
Keywords: subordination superordination; superordination; meromorphic functions; superordination preserving ... See more keywords
Interrelationships Between Marichev–Saigo–Maeda Fractional Integral Operators, the Laplace Transform and the $${\overline{H}}$$H¯-Function
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DOI: 10.1007/s40819-019-0690-3
Abstract: AbstractIn this article, we first evaluate the Laplace transform of Marichev–Saigo–Maeda (M–S–M) fractional integral operators whose kernel is the Appell function $$F_{3}$$F3 and point out its six special cases (Saigo, Erdélyi–Kober, Riemann–Liouville and Weyl fractional… read more here.
Keywords: laplace transform; marichev saigo; saigo maeda; integral operators ... See more keywords
Weighted L p estimates for rough bi-parameter Fourier integral operators
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DOI: 10.1016/j.jde.2018.03.024
Abstract: Abstract Fourier integral operators play an important role in applications to partial differential equations. The main purpose of this paper is to investigate the weighted L p boundedness of the bi-parameter Fourier integral operators (or… read more here.
Keywords: weighted estimates; estimates rough; parameter fourier; integral operators ... See more keywords
The index of weighted singular integral operators with shifts and slowly oscillating data
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DOI: 10.1016/j.jmaa.2017.01.052
Abstract: Abstract Let α and β be orientation-preserving diffeomorphism (shifts) of R + = ( 0 , ∞ ) onto itself with the only fixed points 0 and ∞. We establish a Fredholm criterion and calculate… read more here.
Keywords: integral operators; weighted singular; slowly oscillating; singular integral ... See more keywords
Summability on Mellin-type nonlinear integral operators
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DOI: 10.1080/10652469.2019.1594209
Abstract: ABSTRACT In this study, approximation properties of the Mellin-type nonlinear integral operators defined on multivariate functions are investigated. In order to get more general results than the classical aspects, we mainly use the summability methods… read more here.
Keywords: type nonlinear; mellin type; integral operators; summability mellin ... See more keywords