The boundary Harnack principle and the 3G principle in fractal‐type spaces
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DOI: 10.1002/mana.70059
Abstract: We prove a generalized version of the 3G$3G$ Principle for Green's functions on bounded inner uniform domains in a wide class of Dirichlet spaces. In particular, our results apply to higher‐dimensional fractals such as Sierpinski… read more here.
Keywords: harnack principle; boundary harnack; fractal type; principle ... See more keywords
Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations
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DOI: 10.1007/s00233-019-10016-1
Abstract: We introduce modulation type spaces associated with the generators of polynomially bounded groups. Besides strongly continuous groups we study in detail the case of bi-continuous groups, e.g. weak$$^*$$∗-continuous groups in dual spaces. It turns out… read more here.
Keywords: polynomially bounded; bounded groups; type spaces; modulation ... See more keywords
Generalized Cesàro Operators on Dirichlet-Type Spaces
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DOI: 10.1007/s10473-022-0111-2
Abstract: In this note, we introduce and study a new kind of generalized Cesaro operators $\mathcal{C}_{\mu}$, induced by a positive Borel measure $\mu$ on $[0, 1)$, between the Dirichlet-type spaces. We characterize the measures $\mu$ for… read more here.
Keywords: generalized ces; type spaces; operators dirichlet; dirichlet type ... See more keywords
Besov–Triebel–Lizorkin-type spaces with matrix A∞ weights
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DOI: 10.1007/s11425-024-2385-x
Abstract: Introduced by A. Volberg (1997), matrix Ap,∞ weights provide a suitable generalization of Muckenhoupt A∞ weights from the classical theory. In our previous work, we established new characterizations of these weights. Here, we use these… read more here.
Keywords: besov triebel; matrix weights; type; triebel lizorkin ... See more keywords
Differences of Composition Operators on Bloch Type Spaces
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DOI: 10.1007/s11785-016-0595-7
Abstract: In this paper, we study the boundedness, compactness and essential norm of differences of composition operators $$C_{\varphi }-C_{\psi }$$Cφ-Cψ on Bloch type spaces. In particular, we use the Bloch type norm of $$\varphi ^n-\psi ^n$$φn-ψn… read more here.
Keywords: operators bloch; bloch type; type spaces; differences composition ... See more keywords
Approximation of Invariant Subspaces in Some Dirichlet-Type Spaces
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DOI: 10.1007/s11785-017-0706-0
Abstract: The Hilbert space $$\mathcal {D}_{2}$$D2 is the space of all holomorphic functions f defined on the open unit disc $$\mathbb {D}$$D such that $${f}^{'}$$f′ is in the Hardy Hilbert space $$\mathbf {H}^2.$$H2. In this paper,… read more here.
Keywords: subspaces dirichlet; space; type spaces; approximation invariant ... See more keywords
On embeddings of Morrey type spaces between weighted Lebesgue or Stummel spaces with application to Herz spaces
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DOI: 10.1007/s43037-021-00128-8
Abstract: We study embeddings of Morrey type spaces $${\varvec{M}}^{p,q,\omega } ({\mathbb {R}}^n ) $$ , $$1 \leqslant pp $$ we show that the embedding, in general, cannot hold with $$ \omega =w $$ . For global… read more here.
Keywords: stummel spaces; embeddings morrey; weighted lebesgue; type spaces ... See more keywords
Embeddings of Lorentz-type spaces involving weighted integral means☆
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DOI: 10.1016/j.jfa.2017.06.008
Abstract: We solve the problem of characterizing weights on (0, infinity) for which the inequality involving two possibly different general inner weighted means (integral(infinity)(0)(integral(t)(0)f*(s)(m2) ... read more here.
Keywords: lorentz type; type spaces; embeddings lorentz; weighted integral ... See more keywords
Characterizations of predual spaces to a class of Sobolev multiplier type spaces
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DOI: 10.1016/j.jfa.2021.109348
Abstract: We characterize preduals and Kothe duals to a class of Sobolev multiplier type spaces. Our results fit in well with the modern theory of function spaces of harmonic analysis and are also applicable to nonlinear… read more here.
Keywords: type spaces; sobolev multiplier; multiplier type; class sobolev ... See more keywords
Holomorphic Campanato type spaces over Carleson tubes and Bergman metric balls
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.08.001
Abstract: Abstract In this paper we give some characterizations of holomorphic Campanato type spaces in terms of Carleson tubes and Bergman metric balls in the unit ball. read more here.
Keywords: holomorphic campanato; type spaces; tubes bergman; campanato type ... See more keywords
Möbius invariant Dirichlet type spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.059
Abstract: Abstract Let D μ , p be a Dirichlet type space induced by a positive parameter p and a positive Borel measure μ on the open unit disk. Denote by M ( D μ ,… read more here.
Keywords: space; type spaces; measure; bius invariant ... See more keywords