On slice hyperholomorphic fractional Hardy spaces
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DOI: 10.1002/mana.201700011
Abstract: In this paper we introduce and study the fractional Hardy spaces of the half space and of the unit ball in the quaternionic setting. In particular, we discuss their properties of invariance and of factorization… read more here.
Keywords: space; fractional hardy; slice hyperholomorphic; hardy spaces ... See more keywords
Conditions for boundedness into Hardy spaces
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DOI: 10.1002/mana.201800252
Abstract: We obtain boundedness from a product of Lebesgue or Hardy spaces into Hardy spaces under suitable cancellation conditions for a large class of multilinear operators that includes the Coifman-Meyer class, sums of products of linear… read more here.
Keywords: conditions boundedness; hardy spaces; boundedness hardy;
Hardy spaces for the Dunkl harmonic oscillator
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DOI: 10.1002/mana.201900215
Abstract: Let Δ and L=Δ−∥x∥2 be the Dunkl Laplacian and the Dunkl harmonic oscillator respectively. We define the Hardy space H1 associated with the Dunkl harmonic oscillator by means of the nontangential maximal function with respect… read more here.
Keywords: hardy spaces; harmonic oscillator; spaces dunkl; dunkl harmonic ... See more keywords
Real‐variable characterizations of local Hardy spaces on spaces of homogeneous type
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DOI: 10.1002/mana.201900320
Abstract: Let (X,d,μ) be a space of homogeneous type, with upper dimension μ, in the sense of R. R. Coifman and G. Weiss. Let η be the Hölder regularity index of wavelets constructed by P. Auscher… read more here.
Keywords: maximal functions; hardy spaces; homogeneous type; local hardy ... See more keywords
Composition Operators with Monomial Symbol Acting on Weighted Hardy Spaces
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DOI: 10.1007/s00009-017-1040-5
Abstract: Let $$C_{\varphi }$$Cφ be the composition operator with monomial symbol $$\varphi (z)=z^m$$φ(z)=zm, $$z\in \mathbb {D}$$z∈D, for some positive integer m. In this article, we investigate the point spectrum, spectrum, and essential spectrum of the operators… read more here.
Keywords: monomial symbol; weighted hardy; hardy spaces; varphi ... See more keywords
A variant of Yano’s extrapolation theorem on Hardy spaces
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DOI: 10.1007/s00013-019-01366-x
Abstract: In this note we prove a variant of Yano's classical extrapolation theorem for sublinear operators acting on analytic Hardy spaces over the torus. read more here.
Keywords: variant yano; yano extrapolation; extrapolation theorem; hardy spaces ... See more keywords
Essential Norms and Schatten(-Herz) Classes of Integration Operators from Bergman Spaces to Hardy Spaces
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DOI: 10.1007/s00025-021-01403-8
Abstract: In this paper, we completely characterize the compactness of the Volterra type integration operators $$J_b$$ acting from weighted Bergman spaces $$A^p_{\alpha }$$ to Hardy spaces $$H^q$$ for all $$0 read more here.
Keywords: essential norms; integration; bergman spaces; hardy spaces ... See more keywords
Discrete Littlewood-Paley-Stein Characterization and L2 Atomic Decomposition of Local Hardy Spaces
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DOI: 10.1007/s10114-019-8532-0
Abstract: Usually, the condition that T is bounded on L2(ℝn) is assumed to prove the boundedness of an operator T on a Hardy space. With this assumption, one only needs to prove the uniformly boundness of… read more here.
Keywords: littlewood paley; discrete littlewood; hardy spaces; local hardy ... See more keywords
Weak Factorization of Hardy Spaces in the Bessel Setting
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DOI: 10.1007/s10476-018-0610-5
Abstract: We provide the weak factorization of the Hardy spaces Hp(ℝ+, dmλ) in the Bessel setting, for $$p \in (\frac{2\lambda+1}{2\lambda+2}, 1]$$p∈(2λ+12λ+2,1]. As a corollary we obtain a characterization of the boundedness of the commutator [b,$${R_{{\Delta _\lambda… read more here.
Keywords: spaces bessel; weak factorization; factorization hardy; hardy spaces ... See more keywords
Erratum to: Atomic Decomposition of Hardy Spaces and Characterization of BMO Via Banach Function Spaces
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DOI: 10.1007/s10476-019-1173-9
Abstract: The main purpose of this short note is to correct a technical error appeared in the proof of [2, Theorem 2.3]. read more here.
Keywords: decomposition hardy; characterization bmo; spaces characterization; hardy spaces ... See more keywords
On Order Bounded Difference of Weighted Composition Operators Between Hardy Spaces
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DOI: 10.1007/s11785-018-0811-8
Abstract: So far no complete characterization of compact difference of composition operators between Hardy spaces exists. Motivated by the fact that order-bounded composition operators are also helpful in describing compact composition operators on Hardy spaces, see… read more here.
Keywords: difference; operators hardy; order bounded; composition ... See more keywords