Results 41 to 50 of about 6,504,319 (75)
SINGULAR INTEGRAL OPERATORS ON REARRANGEMENT-INVARIANT BANACH FUNCTION SPACES [PDF]
, 2023 Given the Cauchy singular integral operator S acting on a reflexive rearrangementinvariant Banach function space, our goal is to study the Fredholmness of the operator aP + Q where P = 1 2 (I + S), Q = 1 2 (I − S) and a is a semi-almost periodic ...
Turcan, Oleg
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Maximal Operators Defined by Rearrangement Invariant Banach Function Spaces
, 2020 In this thesis we study the boundedness of a generalization of the Hardy-Littlewood maximal operator, involving rearrangement invariant Banach function space and indices of the spaces.
Bonnema, D.M. (author)
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FOURIER INTEGRALS AND SOBOLEV IMBEDDING ON REARRANGEMENT INVARIANT QUASI-BANACH FUNCTION SPACES
, 2016 . We extend the mapping properties for the fractional integral operators, the convolution operators, the Fourier integral operators and the oscillatory integral operators to rearrangementinvariant quasi-Banach function spaces.
Kwok-Pun Ho
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In this paper we consider the properties of sums of rearrangement-invariant quasi-Banach function spaces, with the focus being on rearrangement-invariance and the Fatou property. In our first main result, we show that the quasinorm of the sum is in many cases equivalent to a rearrangement-invariant quasinorm by providing a weaker version of the ...
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Banach Spaces of Analytic Vector-valued Functions [PDF]
, 2007 The main theme of the thesis is the study of continuity and approximation problems, involving matrix-valued and vector-valued Hardy spaces on the unit disc ID and its boundary T in the complex plane.
Barclay, Steven John
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We extend some results of Kwok-Pun Ho. In particular, it will be shown that every rearrangement-invariant quasi-Banach function space E on a totally sigma-finite measure space with a non-atomic measure can be expressed is the form E=F(L(p0,q0),L(p1,q1)) for an interpolation functor F, where the construction of the functor F is given based on the space ...
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Composition of rough singular integral operators on rearrangement invariant Banach type spaces [PDF]
Let $\Omega$ be a homogeneous function of degree zero and enjoy the vanishing condition on the unit sphere $\mathbb{S}^{n-1}(n\geq 2)$. Let $T_{\Omega}$ be the convolution singular integral operator with kernel ${\Omega(x)}{|x|^{-n}}$.
Tan, Jiawei, Xue, Qingying
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Morrey Spaces on Domains: Different Approaches and Growth Envelopes. [PDF]
J Geom Anal, 2018 Haroske DD, Schneider C, Skrzypczak L.
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THE SEMIGROUP OF METRIC MEASURE SPACES AND ITS INFINITELY DIVISIBLE PROBABILITY MEASURES. [PDF]
Trans Am Math Soc, 2017 Evans SN, Molchanov I.
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, 2018 In this work we obtain some Jackson type direct theorem and converse theorem of polynomial approximation with respect to fractional order moduli of smoothness in rearrangement invariant quasi Banach function spaces (RIQBFS) on the unit circle. Later using these results we obtain similar estimates for some RIBFS on sufficiently smooth domains of complex
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