Search Results - "Hytönen, Tuomas"

The sharp weighted bound for general Calderón—Zygmund operators by Hytönen, Tuomas P.

“…For a general Calderón—Zygmund operator T on ℝ N , it is shown that $\normal{||Tf||_{L^{2}(w)} \le C(T) \cdot \underset {Q}\sup} \LARGE{(}…”
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An operator-valued T(1) theorem for symmetric singular integrals in UMD spaces by Hytönen, Tuomas

“…The natural BMO (bounded mean oscillation) conditions suggested by scalar-valued results are known to be insufficient for the boundedness of operator-valued…”
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Sharp Reverse Hölder property for A∞ weights on spaces of homogeneous type by Hytönen, Tuomas, Pérez, Carlos, Rela, Ezequiel

“…In this article we present a new proof of a sharp Reverse Hölder Inequality for A∞ weights. Then we derive two applications: a precise open property of…”
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Quantitative estimates for bounded holomorphic semigroups by Hytönen, Tuomas, Lappas, Stefanos

“…We revisit the theory of one-parameter semigroups of linear operators on Banach spaces in order to prove quantitative bounds for bounded holomorphic…”
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The Dyadic Representation Theorem Using Smooth Wavelets with Compact Support by Hytönen, Tuomas, Lappas, Stefanos

“…The representation of a general Calderón–Zygmund operator in terms of dyadic Haar shift operators first appeared as a tool to prove the A 2 theorem, and it has…”
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Extrapolation of compactness on weighted spaces: Bilinear operators by Hytönen, Tuomas, Lappas, Stefanos

“…In a previous paper, we obtained several “compact versions” of Rubio de Francia’s weighted extrapolation theorem, which allowed us to extrapolate the…”
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Matrix-weighted Besov-type and Triebel–Lizorkin-type spaces III: characterizations of molecules and wavelets, trace theorems, and boundedness of pseudo-differential operators and Calderón–Zygmund operators by Bu, Fan, Hytönen, Tuomas, Yang, Dachun, Yuan, Wen

“…This is the last one of three successive articles by the authors on matrix-weighted Besov-type and Triebel–Lizorkin-type spaces B ˙ p , q s , τ ( W ) and F ˙ p…”
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Extrapolation of compactness on weighted spaces by Hytonen, Uomas, Lappas, Stefanos

“…Let T be a linear operator that, for some p_1\in(1,\infty) , is bounded on L^{p_1}(\tilde w) for all \tilde w\in A_{p_1}(\mathbb{R}^d) and in addition compact…”
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Orthonormal bases of regular wavelets in spaces of homogeneous type by Auscher, Pascal, Hytönen, Tuomas

“…Adapting the recently developed randomized dyadic structures, we introduce the notion of spline function in geometrically doubling quasi-metric spaces. Such…”
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Causal sparse domination of Beurling maximal regularity operators by Hytönen, Tuomas, Rosén, Andreas

“…We prove boundedness of Calderön–Zygmund operators acting in Banach function spaces on domains, defined by the L 1 Carleson functional and L q (1 < q < ∞)…”
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Non-homogeneous Tb Theorem and Random Dyadic Cubes on Metric Measure Spaces by Hytönen, Tuomas, Martikainen, Henri

“…We prove a Tb theorem on quasimetric spaces equipped with what we call an upper doubling measure. This is a property that encompasses both the doubling…”
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The L(log⁡L)ϵ endpoint estimate for maximal singular integral operators by Hytönen, Tuomas, Pérez, Carlos

“…We prove in this paper the following estimate for the maximal operator T⁎ associated to the singular integral operator…”
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A FRAMEWORK FOR NON-HOMOGENEOUS ANALYSIS ON METRIC SPACES, AND THE RBMO SPACE OF TOLSA by Hytönen, Tuomas

“…A new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the…”
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Restricted Testing for Positive Operators by Hytönen, Tuomas, Li, Kangwei, Sawyer, Eric

“…We prove that for certain positive operators T , such as the Hardy–Littlewood maximal function and fractional integrals, there is a constant D > 1 , depending…”
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Exotic Calderón–Zygmund Operators by Hytönen, Tuomas, Li, Kangwei, Martikainen, Henri, Vuorinen, Emil

“…We study singular integral operators with kernels that are more singular than standard Calderón–Zygmund kernels, but less singular than bi-parameter product…”
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Vector-Valued Local Approximation Spaces by Hytönen, Tuomas, Merikoski, Jori

“…We prove that for every Banach space Y , the Besov spaces of functions from the n -dimensional Euclidean space to Y agree with suitable local approximation…”
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Off-Diagonal Estimates for Bi-Commutators by Airta, Emil, Hytönen, Tuomas, Li, Kangwei, Martikainen, Henri, Oikari, Tuomas

“…We study the bi-commutators $[T_1, [b, T_2]]$ of pointwise multiplication and Calderón–Zygmund operators and characterize their $L^{p_1}L^{p_2} \to…”
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THE SHARP SQUARE FUNCTION ESTIMATE WITH MATRIX WEIGHT by Hytönen, Tuomas, Petermichl, Stefanie, Volberg, Alexander

“…We prove the matrix A 2 conjecture for the dyadic square function, that is, an estimate of the form S W L 2 C d (W)→L 2 R [W ] A 2 , where the focus is on the…”
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Dyadic Representation and Boundedness of Nonhomogeneous Calderón–Zygmund Operators with Mild Kernel Regularity by de la Herrán, Ana Grau, Hytönen, Tuomas

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Weak A∞ Weights and Weak Reverse Hölder Property in a Space of Homogeneous Type by Anderson, Theresa C., Hytönen, Tuomas, Tapiola, Olli

“…In the Euclidean setting, the Fujii–Wilson-type A ∞ weights satisfy a reverse Hölder inequality (RHI), but in spaces of homogeneous type the best-known result…”
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